{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "d2273d27-dc55-47a3-bfc2-1c487ae1ccc7",
   "metadata": {},
   "source": [
    "Chapter 18\n",
    "# 特殊图的邻接矩阵\n",
    "Book_6《数据有道》 | 鸢尾花书：从加减乘除到机器学习"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "63e426d4-bb06-4fab-afc6-31852d6390e7",
   "metadata": {},
   "outputs": [],
   "source": [
    "import networkx as nx\n",
    "import matplotlib.pyplot as plt\n",
    "import random\n",
    "import seaborn as sns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "d5d99fb5-e698-4ce8-83be-4a5de447309f",
   "metadata": {},
   "outputs": [],
   "source": [
    "def visualize(G, pos, fig_title):\n",
    "    fig, axs = plt.subplots(nrows = 1, ncols = 2,\n",
    "                            figsize = (12,6))\n",
    "    \n",
    "    # 左子图\n",
    "    nx.draw_networkx(G, \n",
    "                     ax = axs[0],\n",
    "                     pos = pos,\n",
    "                     with_labels = False,\n",
    "                     node_size = 28) \n",
    "    axs[0].set_aspect('equal', adjustable='box')\n",
    "    axs[0].axis('off')\n",
    "    \n",
    "    # 邻接矩阵\n",
    "    C = nx.adjacency_matrix(G).todense()\n",
    "    \n",
    "    # 右子图\n",
    "    sns.heatmap(C, cmap = 'Blues', \n",
    "                ax = axs[1],\n",
    "                annot = False,\n",
    "                xticklabels = [], \n",
    "                yticklabels = [],\n",
    "                linecolor = 'k', square = True,\n",
    "                linewidths = 0.2, cbar = False)\n",
    "    \n",
    "    plt.savefig(fig_title + '.svg')\n",
    "    "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "357f2f13-4ee3-4252-9cff-2611fa4829c3",
   "metadata": {},
   "source": [
    "## 完全图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "78c983fc-1109-41fd-9af2-393228d146e7",
   "metadata": {},
   "outputs": [],
   "source": [
    "G_complete = nx.complete_graph(12) \n",
    "pos = nx.circular_layout(G_complete)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "66d4b33a-a781-4e3c-80b3-80aeccb197cf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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1Egu1AIsXL+bKlSt4e3vreo99fHzIlSsX5cuXT7A+jUbDu3fvOHXqFAD58uVj9OjRzJ07l2vXrunK6RNuASwsLNi5cycHDhzQbRfUp0+fv2VLnwIFCtCtWzfWrl1LaGgoQUFBTJ48GQMDA8aNG0fFihXJmzcvHTp0YPny5dy/f/+7t0EIIYQQQgiQYCv+Qffv32fZsmX89ttv5MmTBxsbG8aPH4+RkRFTpkyJs0pv165dKVCgwN/WlqdPn9K7d28qV65MREQEBw8eZPv27ZQoUSLRc5IKtREREbi6utK9e3cqVaqkO67ValGr1Qn2/AJYW1tjamqKVqvVHXNycqJQoUIMHjw4znBifcMtQIMGDQgKCsLb25tNmzZhYWHBzJkz+fTpk17PJ6VUKhXly5dnyJAhcVah7t27N7dv36Z3794ULlyYkiVLMmDAALZv387Lly//lrYIIYQQQoj/PRJsxd/mxYsXbNu2jQEDBmBpaUnhwoXp06cPd+7coW/fvhw+fJiIiAj27t3LkCFDKFeuXJrnySbn06dPeHp6YmFhwZYtW5g9ezZBQUEJzoH9WlKhFmD8+PF8/vyZKVOm6I5FREQQGBiY6DBkAAMDA+rXr6+bZwuQMWNGZsyYwYEDB9i7d2+c8ikJt+nSpWPQoEGEhITQuXNnXFxcKFeuHHv27Enz/NvkZMiQgTp16jBlypQ4+wbXq1ePAwcO8Ouvv2JiYkK1atUYO3Ysx44d+9tCtxBCCCGE+O+TYCu+m0+fPnHs2DFcXV2pVq0apqamtGrVioMHD6JWq9myZQvPnz/n9OnTTJ48mTp16pAhQ4Z/pG2KorB7927Kli3LiBEj6Nq1KyEhIQwcOBAjI6Mkz00u1F65coX58+fj6upK3rx5dcd9fX1RFCXJYAtfhiOfOXNGt2AUQIsWLahfvz6DBw+OF/hSEm4BzMzMmDdvHhcuXKBAgQL88ssvNGnSJM5Q57+bsbExrVu3ZsGCBdy8eZPbt2+zcOFCChUqxPz586lduzYmJib88ssveHl5ceXKlb89fAshhBBCiP8OCbZCJyZGYceFR7RffJIa0w7RfvFJdlx4RExMwgFDURQuX76Ml5cXTZs2xcTEhNq1a7NgwQIKFSrEokWLuHPnDiEhIcyfP59WrVphbGz8D98VXLt2jcaNG9OsWTMKFSrEhQsXmDNnDqampsmem1yoVRSFwYMHU7RoURwcHOK8p9VqsbS0pFChQkleQ61WExMTw+HDh3XHVCoVXl5e3Lp1i7lz58Y7J6XhFqBcuXL4+Piwbds2goODKV++PIMHD44TqP8pRYsWpXfv3mzcuJGwsDDOnj2Lq6srHz58YMSIEZQtW5b8+fPz+++/s2bNGh4/fpxkfSn97AohhBBCiP+WpLuqxP+MmBgFp43n2XkxFAMVxCgQ+vIDp+9EcOh6GF7trDEwUPH48WN8fHzQarX4+Pjw5MkTMmTIgL29Pa6urmg0GqytrROdU/pPioyMZPz48cybN4/ChQuzfft2mjdvrvdw5+RCLcDu3bvRarXs2LEjXu+zj48PjRs3TvY6RYoUoUSJEvj4+NCqVSvd8bJly/LHH38wYcIEOnfuTO7cueOcFxtu69WrR/369Tl06BBmZmZJXkulUtGyZUsaNWqEl5cXkydPZs2aNUyePJnevXtjaGiYbHu/NwMDAypVqkSlSpUYPnw479+/x8/PT/cZW7NmDfDlftVqNRqNhtq1a+t+Hvp+doUQQgghxH/Xv58+xA9h18XH7LwYCnwJBl//uTPoMe1cplGmTBny589P165duXr1Kr///jtarZbIyEi0Wi3Dhw/HxsbmXw+1UVFRLFiwAAsLC5YvX87UqVO5evUqLVq0+K6h9uPHjwwZMgSNRkOzZs3ivHf79m1u376d7NzdWBqNJs4CUrEmTpyIoaEhY8aMSfC81PTcwpd5vCNGjCAkJIRmzZrRr18/bGxs4vQa/1syZcqERqNh+vTpnDt3jrCwMDZs2EDVqlXZtm0bv/zyC8bGxtSqVYtJkyYxc8vRJD+7uy4m3dsrhBBCCCF+ftJjKwBYF3Bf19v1LSUmmoCI9FSytKRLly5UqVIlzpDif3KuZnICAgKYMWMGN2/epHnz5gwYMAAzMzOuXLmidx0XL15k4MCBWFpaMnXqVIKDgxMst3r1au7cucPUqVPj7Re7detWDA0NyZkzJ+fOndMdj31W3z6zYsWKcfPmTXbv3o25uXmc93r16oWnpyd16tTBysoqwbbMnTuXvn37Uq1aNRYuXJiiId+DBg2iXr16eHh4UK9ePerWrcvgwYPJnz+/3nX83SwsLLCwsKBfv348ePCAU6dOERAQwPTp08nSLB0ZCpZGZRC/t9lA9eWz3cL6x7kXIYQQQgjx/UmwFQA8jHyXYKgFUBkYEp3JmO0rt7N9+/Z/tF1psXPnTnbu3Jnq88+fP4+9vX2y5dq1a5foe3Xq1EnweOfOnRM8/m3P79c6deqUbFsiIyOTXawqOYcPH/4hem71lSNnngRDLXz5ouZh5Pt/uEVCCCGEEOKfJsFWAFDAODOhLz8k2mMb9eIpZmZm2NnZUbVqVapUqUKuXLn++YZ+4+3bt6xYsYK1a9diYmKCg4MDDRs2TNW2QV/31M6ePZvMmTMnWnbixIkcOXKEbdu2kSNHjjjvRUdHo1aradeuHf369Yvz3rVr1+jcuTNr166lVKlScd77/fffMTc3x93dPd71Tp06xYABA3B3d09yePOtW7fo27cvpqamKe65jfX+/XtWrlzJ6tWryZ49Ow4ODjRu3PhfH2KuKAq3b9/m9OnTnD59mnPnzvHu3TuiX4VhmM000R7bAsaZ/oXWCiGEEEKIf5IEWwFAzbxw+k7C76kMDEn/IADb2rW5efMmrq6uwJfFjTQaDWq1mtq1a5MlS5Z/rL0xMTGsWbOGkSNHEhkZyciRIxk2bFiq23Dy5EkcHBywsbFJdE5trMDAQHbu3MmcOXOoW7duvPfPnj3Lq1ev+P3337GxsUmwjlKlSsV7r2XLlixcuDDBxbdsbGzYv38/8+fPx8HBgUyZEg5rNjY2lC5dmnr16jFkyBC9FpRKSI0aNRg9ejTDhg1j7Nix7NmzB29vb+zs7FJcV1qEhobi4+Ojez1+/Jj06dNTvXp16taty9GjR/lw2YcMBcsmeH6MAh1tk16VWgghhBBC/Pxk8ShBUFAQE3o0J+rmSeBLD+3Xf3684YfZu/ts2bKF/Pnzc+LECdatW4etrS2bN2+madOmGBsbU7t2bSZPnszp06eJior629p76tQpqlatSrdu3bC3t+f69etMmDAhTaE2uYWiYimKgqOjI6VLl6Zv374JltFqtWTNmpWqVaumqB0ajYbw8HAuXLiQ4PszZswgNDQUT0/PJOtJ7YJS3ypSpAh//fUXR44c4cOHD1StWpXff/892a130uLNmzfs3buXwYMHU7ZsWczNzfn999+5ePEinTp14sCBA6xfv57Hjx+zb98+rK2teRF0iI/Bfl8qUGL+748vn92MTy9Ru2jiP08hhBBCCPHfIMH2f1xQUBD169cnVy4zHm9xI/r4UrK8e0LUyzCinwTzbMd0zG7u5dbNENzc3Lh69Sq1a9fm7NmzzJgxg3v37nH9+nVmzZqFsbExHh4eVK1aFTMzM1q1asX8+fMJCQlBUdK+n+ijR4/o0qUL1apVIyoqimPHjrFx40YKFy6c6jpTEmoBNm7cyIkTJ/D29sbIKOEBDz4+PtSuXZt06dKlqC1Vq1Ylc+bM+Pj4JPi+hYUFTk5OuLm58eDBgyTr+l7hFqB27doEBgayePFi9u3bp1tU68OHD6muM1ZUVBSnTp1i0qRJ1K5dGxMTE5o2bcqWLVuws7Nj/fr1hIWFcf78eXr06IGXlxetW7cmf/78uLi44OfnR/Xq1Xi+cwbPdkzHPN17ol6GoYTdJOrYEp5um07jRo149epVmtsqhBBCCCF+XBJs/4fFhtpChQphampK8eLFeHhiO7/lesKjBT14tNqFogbhpE9nRNmyZXFzc2PVqlWMHz+eRYsWYWlpydKlSylRogQDBgxg+/bthIeH4+/vz5AhQ3j+/DmOjo5YWlpStGhRevXqxcaNG3n27FmK2vn+/XsmT56MpaUlBw4cYMmSJZw5c0avhZ2SktJQ++7dO1xcXGjZsiX169dPtIyfn5/e2/x8LUOGDNSuXTvBbX9ijRkzhmzZsjFixIhk6/ue4dbQ0JDevXsTEhJC3759GTduHKVKlWLLli0p+tJCURSCg4OZP38+v/76K2ZmZlSrVg1PT09MTEyYNWsWN27c4N69eyxbtozffvuNdOnSMWTIEMqVK8f169fZsmULLVu2ZNq0afTp04fz589Tr15dPtzww02dh0cLepDu2DyeBuyhY8cOXL9+nYYNG0q4FUIIIYT4D5Ng+z8qNtQWLlwYBwcHTpw4QZs2bQB08ygNDAxo2rQp586do0uXLpQtW5ZmzZqh0Wi4ceMGjRo1ok+fPlSuXJljx44BYGRkRLVq1Rg7dizHjh0jIiKC3bt307JlS06ePMlvv/1G7ty5sbGxYfjw4Wi1Wt6/T3jVWkVR2Lx5M6VKlWLixIn079+fkJAQevXqhaFhwqvg6iuloRbAw8ODsLCwJIcCHz9+nE+fPqV6ZWK1Ws3x48cTfSbZs2fHzc2NdevW4e/vn2x93zPcAuTMmZMZM2Zw+fJlypQpQ5s2bahXrx4XL15M9Jxnz56xYcMGevXqRZEiRShZsiSOjo5EREQwdOhQTp48SXh4ONu2bWPAgAFYWlqiUqmIjo5m0aJFWFhYsHjxYiZOnMjVq1d59OgRjo6OODs78/r1a7Jnz07mzJmxtbUlW7ZsANy5c4devXqxatUq1q1bJ+FWCCGEEOI/ToLt/6CvQ+2uXbuYMGECTZs2JSwsjDJlyuhWOy5VqhT37t2jXbt2TJw4kU2bNukWjHr06BGrV6/m5MmTpE+fntq1a9OuXTvu3bsX51rZsmWjadOmeHl5ceXKFR49esSqVasoW7Ysq1evpkGDBhgbG6NWq5k2bRrnzp0jJiaGCxcuULduXdq2bUu5cuW4fPkyHh4e8VYgTo3UhNr79+8zbdo0Bg8eTPHixRMt5+Pjg7m5OaVLl05V2zQaDR8/fuTEiROJlunWrRs2NjY4OjoSExOTbJ3fO9wClCxZkt27d7N3715CQ0OpWLEi/fr149mzZ7x//x6tVsuwYcOoWLEiuXPnpkOHDpw6dYpWrVqxe/duIiMjOXr0KK6urlStWjXesO4jR45QqVIl/vjjD5o0aUJwcDAjR45kyZIlODg44OzsTIsWLVi/fj2TJ0/m2LFjcXrJFUXB1taWTJkysXHjRrRarYRbIYQQQoj/MAm2/2O+DrU+Pj6sWLGChw8fMmPGDLRabZyeRjs7Ow4dOoS7uzuRkZHMnTuX/fv368JtQEAAVatW5eTJk6xevRo/Pz+srKwYO3Ysb9++TfD6sYsBrV69msePH3Pp0iXc3d3JkCEDkyZNolKlSmTOnBkbGxtu3LjBypUr2bVrF5aWlt/l/lMTagGGDx9Ojhw5GD16dJLlYp9harYbgi8rTefJkyfJ4cgGBgZ4e3tz9uxZVq9erVe9f0e4BWjcuDFBQUE4OTmxYsUKzM3NyZ49Ow0aNGDt2rWUK1dO97O+fPkys2bNomnTpok+97t379K2bVvq1q1LxowZOX36NKtWrcLc3Jw5c+boQq27uztOTk5UqlSJ8uXLExEREeezW6RIEfz9/Zk8eTKrVq0iJiZGwq0QQgghxH+YBNv/Id+G2nfv3jF16lQcHR1RqVQ8ePAgTq+XnZ0dz58/58WLFwwbNowZM2bw7NmzeOHWwMCALl26EBwczJAhQ5g+fTolS5bkzz//THL+pUqlomzZsjg5ObFt2zbGjRtH1qxZUalUFCpUiKdPn9KtWzdKlChBv3792Lp1K5GRkam+/9SG2uPHj7Nhwwbc3Nx0Q10TEhYWRlBQUKqHIcOXZ6JWqxNdQCpWzZo1+e233xgxYoTeIe17hts7d+6wZMkS2rVrh7m5OTNnzsTQ0BBzc3Oio6MpWrQoy5YtY/Xq1XTp0oV8+fIlWd+bN28YM2YMVlZW+Pv7s2bNGvz9/bG1tQWIE2qnT5/O6tWrCQwMxNvbG19fX7JkyRJnFWo7Ozu0Wi09e/akfPnyuq2cJNwKIYQQQvxHKeJ/woULFxRTU1PFxsZGiYiIUBRFUTp37qzkypVLefHihTJ37lzFyMhIefXqlRIYGKgAysmTJ5XMmTMr06ZNU968eaMUKFBA+fXXXxVFUZRXr14p1atXV7Jnz66cPn06zrVu3bqltGrVSgGUatWqKQEBAUm2be/evUrJkiUVAwMDpV+/fsqzZ88URVGUyMhIZdu2bUr//v0VS0tLBVAMDAwUW1tbZfTo0crhw4eVDx8+6HX//v7+SrZs2RR7e3vl9evXej+3qKgopWLFikrlypWV6OjoJMuuW7dOAZTHjx8nWib22QYGBiZaZuXKlYpKpdI9h8Tcu3dPyZQpkzJ8+PCkb+Ibly9fVnLnzq2UL18+2WvEioiIUDZv3qz88ccfSvHixRVAMTQ0VKpVq6a4uroqx44dUz5+/KgoypfPWp06dRRAadq0qXLjxo1E642OjlbWrFmjmJubKxkyZFBGjx4d7+cze/ZsBVCcnZ2VmJgY5eXLl0qePHmUDh06KIqiKPXq1VOaNGmiKMr/f76zZs1SACUkJEQ5fPiwAihr1qxRFEVRzpw5o+TMmVOpWrWq8vLlyxQ9OyH+6wB5yUte8pKXvH6ol97/h/2N/z+KH0RCofbkyZMKoCxZskRRFEVp2bKlYm9vryhK3PDVqFEjRaPRKIry/4PboUOHFEVJOtwqiqL4+voq5cqVUwClW7du8QLf9evXlSZNmiiAUrduXSUoKCjJ+7h7966ydOlS5bffflPMzMwUQMmcObPSqFEjZcaMGcrFixeVmJiYeOelNtQqiqIsXbpUARR/f/9ky3bv3l0pU6ZMkmX0CbYPHz5UAGXDhg3JXnP8+PFK+vTplZs3byZb9mvJhdsPHz4ovr6+yqhRo5QqVaooBgYGCqBYWloqAwYMULZt26a8ePEi0fpjYmKUzZs3K0WKFFGMjIyUoUOHxit/+vRppWrVqgqgtGnTRrl9+3a8er4NtYqiKMOGDVMyZcqk3L9/X3n79q2SPn16ZdasWYqi/P/ne/ToUcXQ0FBZsGCBoiiK0qZNG8Xc3Fz385dwK0TC/u1fXuQlL3nJS17y+valL9X//Ucm/qO+HX5sbGxMTEwM1apV49OnT5w9exZFUTA1NcXZ2RlXV1fOnTtHpUqVCAwM5MiRI4wePZrIyEgyZMhAzZo1ef36NefOncPIyIjXr1/TqFEjLl++jFar1Q0djRUVFcXSpUsZM2YMHz9+ZPTo0XTr1o3p06czZ84cChQowIwZM/j1119TNC81JiaGoKAgfHx80Gq1HD9+nA8fPpAnTx7UajVqtRqNRsP9+/dTNfwY4NWrV1hYWKBWq/nzzz+TLKsoCoULF6Z169bMmjUr0XJfP1sbG5tEy5UuXZoaNWqwZMmSJK/77t07rKysqFSpEtu2bUv6hr5x5coV6tWrR968efHx8SE0NBStVouPjw/Hjh3j3bt35MqVi/r166PRaFCr1RQqVChF13j//j0zZ85k6tSpZMmShSlTptCoUSPGjBnD6tWrKV++PN7e3tSpUyfeud8OP1apVNy8eZMyZcowatQoxo0bx8GDB2nYsKFuleavn6+DgwN58uRhy5Yt3L17FysrK1xcXJg0aRIAZ8+eRaPRYGVlxYEDB8iePXuK7k2I/yKVSkVG6wH/djP4cGEewA/RFvj/7Xn/+d//lSlTui//V/4Iz+ZH+jn9SG2BH6s90paE/UhtgR+rPT9aW/SNqzLH9j8soVALsHbtWgICAvD29sbQ0JAzZ87w6tWrBOeGqtVqPnz4gJ+fHyqVCm9vby5duqQLXNmyZYs35/ZrRkZG/PHHH4SEhNCjRw9Gjx5N/vz5WbBgARMmTODatWu0atUqxYstGRgYULFiRVxcXDh48CCRkZH4+PjQrVs3rl+/To8ePShQoAA1a9YkW7ZsDBw4UK8VhL82efJk3rx5w7Rp05ItGxwcHG+OclpoNBq0Wm2yf5EzZ87M9OnT2b59e7Lzcr+VI0cOHBwcuHHjBubm5lSoUIExY8YQExPDhAkTOH/+PE+ePGH9+vX06NEjxaEWIFOmTIwePZrg4GA0Gg19+vShSJEi7Nixg0WLFnHu3Dm9Qy2As7MzefLkwcXFBfiyWFe+fPkSXIVarVbj6+tLdHQ0RYoUwdnZGQ8PD+7evQtA5cqVZc6tEEIIIcR/hATb/6jEQu3r168ZMWIE7dq1o1atWsCXLWqyZ89OlSpV4tVTrlw5cufOrQtNlStXpnv37ri6uhIREQEkH25j23P06FFiYmLImzcvHz58wNfXl5s3b36X+82YMSP169fH3d2ds2fPsmfPHjJlykTu3LkxMjKiffv2mJiYULNmTcaPH8+JEyf4/PlzovWFhITg5eXFiBEjKFCgQLLX9/HxIV26dLpnmlZqtZp79+5x69atZMu2b9+eGjVq4OTkRFRUVKLlXr16xc6dOxk0aBClSpWiYMGCuLq6UqJECdKnT0+xYsUICQnhwIEDODs7Y21tjYFB2v+JUBSFgIAATp48iaGhIbly5eLly5f4+Pjw8OHDeOUTC7VarZYdO3bg4eFB5syZgS/PPbFVqDUaDS9evCAwMBCAESNGYGpqqgvFIOFWCCGEEOK/QoLtf1BioRbAzc2NyMhIpk+frjum1WqpW7duvL1E4f+v0vv19jNTp07l48ePTJgwQXcssXD77fYtp06d4uHDh+zevZv79+9ToUIFBg4cSHh4+He7/5MnT9K+fXsqV65MSEgId+/e5ebNm8ydO5e8efPi7e1NzZo1MTU1pXnz5syZM4fr16/H6R0dOnQo+fLlw9nZWa9rarVaqlWrlqKhzkmpU6cOhoaGSW77Eyu2J/3q1assWrRId/zz58/4+fkxfvx4atSogYmJCS1atGDPnj3UqlWLv/76i2fPnnH58mUCAgJ48+YNTZs2/W5bAQFcunQJtVpNq1atsLKy4vLlyzx+/JhVq1YluD1UYqE2KioKJycnatasSbt27YAvq1BfuHAh0VWobW1tyZYtm+4ZZs2alWnTprF582aOHDmiKyfhVgghhBDi5yfB9j8mqVB7+/ZtZsyYwbBhwyhcuDDwZZuVkydPJjmEVqPRcP78eV3gyZs3L66ursybN4+rV6/qyn0bbrt37x5v+xY7OztUKhVNmzbl8uXLTJ8+nTVr1mBhYcGcOXOS7EXVR0Jb+qhUKooXL84ff/zB5s2bef78OQEBAYwYMYLXr18zdOhQSpUqRaFChejevTsjRoxg165deHp6kilTpmSvGRUVxeHDh9O0zc+3smXLRtWqVfUKtgCVKlWie/fujB49Gjc3N5o3b46pqSn29vbMnj0bc3Nz5s2bx61bt7h9+zaLFi2ibdu2mJqaAt9/n9vnz5/Tv39/rK2tefjwIXv27GHv3r1YWVlhYGDA77//Hm97qK5duyYYagEWLlzItWvX8Pb21h339fUFSPS5p0uXjjp16sQZot2xY0eqVq2Kk5MT0dHRuuMSboUQQgghfm4SbP9Dkgq1AC4uLuTKlYthw4bpjh09epSoqKgkg61arUZRFF2QAHB0dKRIkSIMHjw4Tk9nlixZ6NatG+/fv2flypV06NCBGzdu0Llz53jDWtOnT8/QoUMJCQmhTZs2ODo6Ym1trXeY+5a++9QaGhpSpUoVRo0axeHDh4mMjGTfvn20a9eOwMBA3ZzaiRMnMnToUPbv36/rUUxI7Bzl7zW/NpZGo9HNEU3MkydP+PPPP+nWrRt79+7l5cuXjBkzhjdv3jBy5EgCAgJ49uwZmzZtom/fvhQrVizRur5HuP38+TOzZ8/GwsKCdevW4enpyaVLl2jSpEm8slmzZmXKlClcvXoVMzMzVq9eTb58+Wjbtm2cUBseHs7YsWPp0aNHnAW3tFotZcqUwdzcPNH2aDQaTpw4ofv5GRgY4O3tTVBQEMuWLYtTVsKtEEIIIcTPS4Ltf0RyodbX15etW7cyffp0smTJojvu4+NDwYIFsbCwSLTuAgUKYGVlFafnK0OGDMyYMYODBw+yZ88eAAICAqhRowZ9+vShcePGVKpUia1bt8bp1U1I7ty5Wbx4MYGBgZiamtKgQQOaN29OSEiI3vevb6hNSJYsWWjUqBEzZsygd+/eqFQqpkyZQuXKldm4cSONGzfGxMSEunXrMmXKFAICAuKETa1WS44cOahcubLe19SHRqPh5cuXnD17Vnfs7du37Nu3jyFDhlC+fHny5ctH586duXDhAp06daJnz56oVCrmzJnDyJEjqVKlCoaGhnpfMy3h9sCBA1SoUAEnJyfatWtHcHAwgwcPJn369Emet2fPHoKCgmjXrh2mpqbY2dnRvXt3QkNDARg/fjxRUVFMmTJFd46iKGi12mR7ydVqNZ8/f+b48eO6Y7a2tvz++++MHj2aFy9exCkv4VYIIYQQ4uckwfY/ILlQGzs/sXr16nTo0CHOe1qtFo1Gk+yqxAmt0tu8eXPUajWDBg2iS5cu2NnZ8e7dOw4fPsyOHTs4fPhwkgtKfatixYocPXqUjRs3EhQURJkyZRg2bFiy4SItofZrz58/Z+zYsfTq1YtRo0axYsUKHjx4wLVr1/D09CR79uxMmzYNOzs7zMzMaN26NQsXLmTXrl2JzlFOiypVqpAtWzZWrFjBlClTqFOnDsbGxjRp0oRNmzZRuXJl1q1bx5MnT7hw4QKenp7MmzePokWLxutJT4mUhtvg4GCaNWtGo0aNyJUrF+fOnWPRokXkzp072Wt9Pad2w4YNnD9/ngULFrBr1y4sLS0ZPHgwCxYsYOzYseTJk0d3XkhIiF6rUFtZWZE/f/54owDc3Nx4//49EydOjHeOhFshhBBCiJ+PBNufXHKhFmDJkiVcunQpzvxEgMePH3PlyhW95oaq1Wru3r0bZ5Xejx8/Urp0ae7evcvWrVtZuHBhnO1b9Fkt+VsqlYp27dpx/fp1XF1dmTt3LhYWFixfvjzB7Xq+V6gFGDduHDExMUyePDlOe6ysrBg0aBA7duwgPDwcPz8/nJycePr0KQMGDODs2bMcO3aMPn368Ndff6VpISxFUbh58yYLFizgt99+4/379yxatIjp06eTM2dOZs6cyfXr17l//z7Lly+nQ4cOcQJfhgwZmDlzJlqtll27dqW6HfqE25cvX+Li4kLZsmW5dOkSmzZt4siRI1hbW+t1jYQWivp2eyhvb28MDAwoXLhwnKCu1WoxMjJKdhVqlUql+1Lma+bm5owePVq3cNi3JNwKIYQQQvxcJNj+xPQJtZGRkbi6utK9e/d4Q2UPHToEQP369ZO9VuwqvT4+PiiKwrZt2yhdujTz58/H2toaQ0NDWrZsGW/Ya2rCLXzZ/9TV1ZUbN26gVqvp2bMnVapUwc/PT1fme4baS5cusXDhQsaNG5dkT2O6dOmoUaMG48aNw8/Pj/Xr1wPQtGlT/Pz8aN++Pbly5aJSpUqMGDECHx8fPnz4kOS1nz9/zl9//UXv3r0pWrQoFhYWODg4EBYWhkajwcjIiHv37rF9+3YGDhxIyZIlk+xh/+WXX2jQoAFDhgzh48ePqXsgJB5uo6OjWbp0KZaWlsyfP5+xY8dy7do12rRpo/d+xImtfhzL2NiYevXqoSgKZcuWpV27dmg0Gi5fvgx8GUJfrVo1smXLluy11Go1ly5d4smTJ3GODx48mIIFCzJkyJAEz5NwK4QQQgjx85Bg+5PSJ9QCTJgwgY8fPzJ16tR472m1WqytrfUaMpo9e3aqVq3K5s2bddu3lCxZkkuXLuHj44ORkRFjxoxJ8NzUhluAggUL8ueff3LixAkMDAywt7enQ4cObNu27buFWkVRcHJyokSJEgwcODBF5/r7+1OoUCFWrVrF1atXefDgAStWrKBUqVKsXLkSjUaDsbExDRo0YPr06brewdOnTzN8+HAqVapE7ty5ad++Pf7+/rRo0YJdu3YRERHB8ePHmTlzJlFRUZw8eVLvNqlUKmbNmsXdu3eZPXt2iu7nW9+G2127dlGlShV69+5NgwYNuHHjBmPGjNFr9ehYyYVa+DIaYOjQoTRo0ICzZ8/G2R6qf//+HDp0SO/FumJHJMR+kRMrY8aMeHp6sm/fPvbu3ZvguRJuhRBCCCF+DhJsf0L6htqrV68yd+5cxowZQ968eeO8pygKPj4+em9R8/z5cz5+/MihQ4d48OABe/bsYd++fVhZWWFqasrEiRNZtmwZ586dS/D8tIRbgOrVq3P69GlWrFjBgQMHaNWqFcbGxmzevDnNe8fu2LEDX19fZs6cmexCR9+KXcAoNpwVKFCArl27snbtWkJDQ7l48SKTJk3i7du3jBkzhk6dOgHQv39/Fi1aROHChVm5ciUPHz7kypUreHt788svv+h6IkuWLJngHNHklC5dmv79+zNp0qR4PZUpVaZMGf78809u3LhB8+bNAXRbOBUoUCBFdekTagG8vb25e/cus2bNwsDAIM72UKtWreL169dERkbqtT1Unjx5KFeuXJzFz2L9+uuv1K1blyFDhvDp06cEz5dwK4QQQgjx45Ng+5PRN9QqisLgwYMpUqQITk5O8d6/evUqoaGhyfZ6fb19S+zqxitWrIi3fcsff/xB6dKlcXR0THTRorSGWwMDA0qWLElUVBQFChQgNDSUypUrs2HDhlQvlPThwweGDh1Ko0aNEtySJimPHz/m6tWrCT7De/fusWzZMiZPnoy7uzv+/v6kT5+esmXLAlC8eHFevXrFtm3bmDx5MlOmTGHbtm3xVumNnSOaUChLzvjx40mXLh2jR49O8bmx3r59y7hx42jWrBnZsmUjW7ZsREVFJbmKdmL0DbVPnjxh0qRJDBgwgNKlS+uOx24PNWjQINKlS8esWbP03h4qocXP4Mvz9fLyIiQkhHnz5iV6voRbIYQQQogfmwTbn4i+oRa+bKFy8OBBZsyYQYYMGeK9r9VqSZ8+PTVr1ky0Dn9//3jbt2TLlo0jR47EK2tkZISXlxd+fn789ddfidaZlnD79Zzaa9euce3aNSpVqkSHDh2wt7cnMDBQ77pieXl5cf/+fWbOnKn3/NBYsWGzfv36vHjxgq1bt9K/f38sLCwoUqQIffv25d69e/Tr148jR44QERHBqlWrAHSLTG3ZsgW1Wo1Wq6VVq1aYmppStWpVXF1dOXr0KJ8+fUKj0SQ4RzQ5JiYmTJo0iRUrVsTZMkgfiqKwfv16rKyscHd3Z/Dgwdy+fZuTJ0/y9OnTFG8FpG+oBRg1ahQZMmRg/PjxCb7v7+9PkyZNOHfunG57qBYtWnDz5s1E69RoNDx69CjBhaLKly9P3759mTBhAmFhYYnWIeFWCCGEEOLHJcH2J5GSUPvp0yeGDBmCWq3WDR39lo+PDzVr1iRz5szx3rt37x4AgwYNirN9S/78+alTp06ivYdqtZoWLVrg4uLCu3fvEm1fasJtQgtFFS9enG3btqHVannx4gVVqlShV69ePH36NNn6AEJDQ5k8eTIDBw6kVKlSep0T69OnT6xdu5Y8efLwyy+/YGpqSuvWrfHx8aFBgwZs3bqV8PBwTp06xaRJk6hdu3a8Yc7Gxsa0atWK+fPnExISwp07d3TDkxcsWECdOnUwMTFh+fLlwJee8pT2TPfp04cyZcrg5OSk97lnz57F3t6ejh07UqVKFa5du8bUqVPJli1bqva5TUmoPXv2LCtWrGDSpEkJfsbfvHnDyZMn0Wg0cbaHunDhAqVLl8bb2zvBeu3t7UmfPn2in92JEyeiUqlwdXVN8l4k3AohhBBC/Jgk2P4EUhJq4UuQuHXrFrNmzUowRHz69IkjR47EG0Ibu31Lu3btAJg2bVq87Vs0Gg0nTpzg7du3CV7b09OTJ0+e4OnpmWQbUxJuk1v9WK1Wc+HCBebMmcO2bduwsLDAw8Mj2RWBR40aRcaMGRk7dmyS5eBLD+alS5eYNWsWTZo0IWfOnGi1Wl69ekXRokVZvHgxd+/eJTg4mHnz5vHrr7+SM2fOZOv9WpEiRejVqxcbN24kLCyMwMBAXF1dUalUqFQqRo0ahbm5OV26dGH16tU8fvw42Tpje9JPnDjBxo0bkyz75MkTevToga2tLS9fvsTHx4etW7dSrFixOOVSEm5TEmoVRcHR0ZGyZcvSu3fvBMscPXqUqKgo3Wf32+2hYu9xx44dcbaHypIlC9WrV0902LKZmRnjx49nyZIlXLhwIdE2goRbIYQQQogfkQTbH1xKQ+3Tp0+ZOHEi/fr1083n/Nbp06d5+/atbuGo6Oholi1bptu+JTZUfL0oUiy1Ws3nz585fvx4gnWXKFGCwYMH4+7uzoMHD5Jsqz7hVt8tfYyMjBgwYAAhISF069aNkSNHUrZsWXbt2pVgT+WZM2dYuXIlkydPTvSZPnr0iFWrVtG5c2fy5ctH+fLlGTVqFFFRUfzxxx8AbN26lQ0bNtCzZ08KFy6c5P2mhIGBATY2NgwfPhytVsugQYMwNTWlS5cuXLlyha5du5I/f37KlCmDo6Mju3fv5vXr1wnWVb9+fVq2bJloT/rHjx+ZPn06lpaW7Nixg3nz5nH+/Pkkt4HSJ9ymJNQCbNiwAX9/f7y8vDAyMkqwjI+PDwULFow3xzd2e6itW7cCX3pgbW1tOXHihK6MWq3myJEjiS441b9/f0qWLKlX77aEWyGEEEKIH4sE2x9YSkMtwJgxYzA0NGTChAmJltFqtZiYmFCxYkWOHz+uG8Kr0Wi4ceMGvXr1SvRcKyurZFfpHT16NNmzZ2f48OHJtjepcJuafWpNTEyYPXs2QUFBFC1alObNm9OoUSPdwlfwpWfQwcGB8uXLx+kZfP36Nbt27cLR0ZHSpUtToEABunfvzrVr1+jWrRs+Pj5ERkZy8OBBChUqRIYMGahdu3aybfoeGjduTHh4ON27d+fcuXOEhYWxYcMGqlWrxvbt22nWrBkmJibY29szceJE/P39iYqK0p3v6elJWFgY06dPj/McduzYQZkyZRg1ahTdu3cnJCSEfv36JRosv5ZUuE1pqH379i3Dhg3j119/TTJQa7VaNBpNovXFrv69bNkyAGrWrEmHDh24f/8+Go2G169fJzo6IF26dHh5eXH06FG2bNmSZHtBwq0QQgghxI9Egu0PKjWh9ty5cyxbtoyJEydiamqaaDmtVkvVqlXp1KkTtWrVwsjICH9/f9auXZvs9i0qlUq32FFismfPjpubG+vXr8fPzy/ZdicUblMTar9WpkwZDhw4wI4dO7h16xbly5fHwcGBiIgI1q1bx6lTp/D09OT06dNMmDABe3t7TExMaN68OTt37qRmzZpxhgS7u7tTv359MmbMqHuGNWvWTNH+rWkRO0c09rnnypWL9u3bs3TpUt0Q6NmzZ5MrVy5mzpxJjRo1MDU1pWXLlsydO5eoqCgGDx7MtGnTuH//PleuXKFBgwa0bNmS4sWLc/HiRby9vTExMUlRuxIKtykNtQDTp08nLCwsySHsjx8/5sqVK3ptUWVtbU1AQADLly/n8OHDWFlZsWfPHt0Q8sQ0bNiQX375BWdnZ96/f5/sdSTcCiGEEEL8GCTY/oBSE2pj5yeWLl1aN0w2IY8fP+b06dMcPHiQo0ePsnLlSk6dOkW1atX0bp8+q/R27dqVSpUq4eTkFGeuY2K+Drf16tVDrVanOtTGUqlUNG/enCtXruDm5saKFSsoWrQovXv3Jl++fLRu3ZoaNWrg5eVF7ty5mTNnDiEhIdy+fZvFixfTrl07zMzM4tX76dMnjh49qvcewN9D7BzRhBY/UqlUWFhY0K9fP7Zu3crz5885deoULi4uvHjxgiFDhmBlZcXatWsBsLOzo0KFCty9e5ddu3axf//+ONvqpNTX4bZChQopDrX37t1j+vTpDB06NN583q8dOnQIIMke3a8ZGBjQvXt3goODcXBwwN3dnY8fPya7PdSMGTN4/PgxM2bM0Os6Em6FEEIIIf59Emx/MKkJtQCbNm3Cz8+PWbNmJTiMNHb7lvLly6MoCr169SI4OJiuXbtiYJCyj0FsoIsNGgkxMDDA29ubwMBA3RY3ycmWLRsTJkzg/fv3fPz4kYkTJ6Y61MZ6+vQpW7Zs4erVq2TPnp1Xr17x/v17Xrx4QZs2bTh9+jTPnz9ny5Yt/PHHH5QoUSLZMHbq1Cnevn2b7B7A35tGo0lyjmgsIyMj7OzsGDNmjG6boZ07d2JpacnHjx958uQJ0dHRZMqUiSNHjnDw4MEkV7HWR5kyZejZsyePHz/GzMyMYcOG6b190vDhw8mZMycjR45MspxWq8Xa2prcuXOnqG3Zs2fH3d2dK1euYGFhwY0bN6hWrVqi20NZWlri4OCAm5sbjx490usaEm6FEEIIIf5dEmx/IKkNte/evcPFxYXmzZsnGLYCAwN127fkyJGDQoUKsWDBArJly5aqdubJk4dy5colunVKrBo1atChQwdGjhyp1y/6J0+epFWrVtjZ2VG5cmVatGiRon1u4cuz2L9/P87OzlSoUIG8efPSqVMnzp07R+PGjUmfPj1dunShYsWKrFixAjc3N+7evZuia8TOUf56teh/glqt5vXr15w+fTpF5506dYqRI0dy5MgRunfvTpkyZShcuDDW1tasX7+eRo0aYWxsTL169XBzc+PMmTNER0en6Bpz5szBzc2Nbt266Yar67MV0PHjx9m4cSPu7u5Jfh4VRcHHxydNveQlSpTQzZ0NDQ1NcnsoV1dXsmTJwogRI/SuX8KtEEIIIcS/R4LtDyK1oRa+LAwUGhoab+hk7PYtVapU0W3fYmRkROPGjdPcXo1Gg1arTXb12GnTpvHq1SumTJmSZLmv59QePHgQrVar11ZA0dHRnDlzhqlTp1K3bl2MjY1p3LgxGzZswMbGhrVr1xIaGkpQUBCvXr3C1NSU+fPn4+fnx/r16zl79iylS5dm5MiRia4q/C0fHx/q16+PoaGhXuW/l0qVKmFsbJzsFwqxbt68ScuWLdFoNBgbG3P27FmWLVvGkiVLuHfvHrVr1+bhw4dcuXIFDw8PsmTJwtSpU7G1tSVXrly0adOGRYsWcfv27SSv8/Wc2tg5rfpsBRQdHY2joyNVqlShS5cuSV7j6tWrhIaGprmXvHjx4hQpUoRmzZoxZ84ctm7dmuD2UDly5GDq1KmsXbuWkydP6l2/hFshhBBCiH+HBNsfQFpC7YMHD3B3d2fw4MGUKFECiL99y9y5czl//jwWFhYEBwd/l7mharWaR48ecf369STLFSxYkBEjRjBr1ixCQkISLJPQQlFJrZZ869YtFi5cSJs2bciVKxe2tra6Hj9PT0+uXr3KgwcPWLFiBZ06dSJv3rwcPXqUTZs2MW3aNLJmzYpKpeK3337jxo0bjBw5Ei8vLywtLVm1alWSc4JfvHhBQEDAPz4MGcDQ0JB69eolufgRfFndecSIEZQpU4Zz586xYcMGjh07ho2NDQDVqlWjU6dOjBo1ilevXlG6dGkcHBzYtWsXERERHD9+nEGDBhEaGsqAAQMoXrw4xYoVo2/fvmzatInw8HDdtRJaKErffW5XrFjB+fPn8fb2TnY4vFarJX369NSsWTOFTy0ulUqFRqPh0KFDuu2hunbtmuD2UN27d6dixYo4OjrqNU88loRbIYQQQoh/ngTbf1laQi18mZ+YPXt2Ro8enej2Lf3798fIyAgfHx9UKhX16tVLc7tr1apF+vTp9eo9dHZ2Jl++fDg7O8d7L6nVj2PDrZWVFXXq1KFly5YUK1aMEiVKMHDgQJ48eYKDgwN+fn6Eh4ezc+dOBg0aRKlSpeLM74ztGbSzs6NTp05xrp85c2bGjx/PjRs3qF27Nt26daNq1aqJ9tIdOXKEmJiYf3ThqK+p1WpOnz6dYFiKiYlhxYoVWFhYMHv2bEaNGsX169dp3759vPmu7u7uvHnzhsmTJ8c5ni5dOmrWrMmECRM4ceIE4eHhbN++naZNm3L06FHatWtHrly5qFKlChqNBgcHB5ycnOItFJVcuH358iWjRo2ic+fOei1c5uPjQ82aNcmcOXNKHleC1Go1169f5+HDh5iamjJnzhyCgoIoUqRInO2hDA0N8fb25syZM6xZsyZF15BwK4QQQgjxz5Jg+y9Ka6g9ceIE69evZ+rUqTx48CDZ7Vu0Wi2VK1dO8ZYuCYldpTe53kP4Eh6nT5/Ozp0745RPLNR++PCBQ4cOMXLkSOrWrUtAQADv379n165dVK5cmZ07dxIREYGfnx/jx4+nRo0apEuXLtHrL1++nKCgoCR7BgsVKqTr2YyKiqJ69ep07tyZhw8fximn1WopXrw4RYsW1ecxfXcajYbo6GiOHDkS57i/vz+2trb06NGDevXqcePGDcaNG5doECxQoAAjRozA29s70Z50+DIkt0WLFsyZM4fr169z//59li1bppvzCrBw4UIaNWqEp6cnFy5c0PVuJhVuJ0+ezNu3b3F3d0/2nj99+sSRI0e+Wy95vXr1UKlUcb6UKVOmDAcPHoy3PVSZMmVo165dioaqx5JwK4QQQgjxz5Fg+y9Ja6iNiYnB0dGRChUqcO7cuWS3b4mJieHQoUPftadRrVbrtUovQLt27ahZsyZOTk5ERUXFCbW7d+/m5s2beHh40KBBA4yNjVGr1axYsQIrKytWrFjBtWvXqFq1KgcOHCBPnjxkz55drza+ePGC0aNH06VLF+zs7JItb29vz5kzZ1i6dClarZaSJUsyadIk3Z6mWq32X+utBShWrBhFihTRfUHw4MEDOnbsSI0aNVAUhePHj7Nu3ToKFiyYbF2xPelDhw7V+/oFCxbkzZs3BAYGMnToUM6fP8/kyZNRqVSMHTuWihUrkjdvXjp06MDy5cvJnj17vHAbHByMt7c3I0eOJH/+/Mle8/Tp07x9+/a7PXczMzMqVqwYb7TBt9tDrVy5EgsLC8qVK0dERARubm4pvpaEWyGEEEKIf4YE239BWkMtfOmFDAwM5Pbt26xevRp3d3cuX77ML7/8kuA2KxcvXuTZs2ffdW6oRqPh9evXeq1crFKp8Pb25tq1awwfPpwGDRqQN29ecufOTYkSJahYsSLjx4/H0NCQKVOmcPHiRUJDQ1m7di3dunXDysoq0Tm3SZk0aRLv3r1LUSgxNDSkZ8+eBAcH079/fyZNmkSpUqWYP38+ISEh/8r82lixc0S1Wi0TJ06kZMmS+Pr6smzZMs6cOZOiOaiZMmXC09OTXbt2ceDAAb3O+XpOrYeHB9bW1gwdOpT9+/cTERGBr68vvXr14tatW/Tq1YtChQrRqlUr6tevz71796hTpw6DBg3C3Nxc70Aduwp1xYoV9b635Gg0Gnx8fBJc/CxDhgy4uLgQHBxMy5YtGTt2LDly5MDDwyPZhbQSIuFWCCGEEOLvJ8H2H/Y9Qu2OHTvo168f8KUnNCQkBGdnZzJkyJDoOVqtlkyZMlG9evVUt/1blSpVImfOnHoNR37x4gX379+ncOHCzJw5kzdv3nDz5k0ePHhA7969OXz4MBEREezbt48hQ4ZQrly5eAE9qQWlEnLjxg3dXFN9ega/FRtmrly5Qvny5RkwYAAAuXLlSnFd34uiKGTJkoUbN24wadIkBg0aRHBwMD169EjxfsQAbdq0oVatWgwePDjZnveEFor6WsaMGalbty5Tp04lICCA58+fs3nzZurWrcvp06d5+fIlV65c4eDBg5QvX56zZ8/y6dOnZNuo1WqpV6/ed12FWq1W8/TpUy5dupRombx587Js2TICAgIoVqwYUVFR1KxZU8KtEEIIIcQPSILtPyitoTZ2+5aWLVsSExPDnj17WLp0KXny5En2XB8fH2rVqpVk+E2p2FV6E1pA6tOnTxw7dgxXV1eqVauGqakpv/76K3fv3tX1OoaHh3P69GmmTJlCnTp19GpbSsLtkCFDKFCgAEOGDEnTfVpYWLBz505q165NxowZqVOnDn379iUsLCxN9abU+fPnqV27Nl5eXsCXearTpk3Te1h2QmJ70q9fv86CBQsSLZdcqE2IiYkJrVu3ZuHChdy6dYvr169jZmaGSqViz5491KpVCxMTE3755Re8vLy4cuVKvB7Uly9f/i2rUNesWZOMGTPqtfhZ5cqV8ff3Z+DAgYSGhmJlZSVzboUQQgghfjASbP8haQm1X2/fcvr0aYyMjHB1daVJkyZ6nf/hwweOHTv2twyh1Wg0nDp1Stcb5+XlRdOmTTExMaF27dosWLCAQoUK4eLiQtasWbG3t2fSpEn4+vry6NGjVF1Tn3C7b98+9u7di6enJxkzZkzrbRITE8OVK1dwdHTEy8uLv/76CwsLC2bOnKlXr2NahIWF0bt3bypVqkR4eDgHDx6kUqVKXLx48bvUb21tTa9evRg3blyCW/OkJtQm5MCBA4SHh7Np0yZMTU0pUaIEgwcP5v379wwfPpyyZcuSP39+fv/9d9asWUNoaCiHDx8mJibmu392M2bMiL29vV6jDeDLFwCzZ8/Gzs4OY2NjvbeH+paEWyGEEEKIv4cE239AakNtTEwMK1euxNLSUjektnLlyuTLl49hw4bpfX1/f38+fPjw3Rc9evz4Ma9fvyY6OpqiRYtStmxZRowYwadPn3B1dSUwMJCwsDCcnJyYP38+FStWZO/evbi4uFCsWDGcnJwSnOOoj6TC7efPnxk8eDB16tShVatW3+Veg4KCeP78OQ0bNsTBwYGQkBA6d+6Mi4sL5cqVY+/evd/lOl/79OkTM2bMwMLCgi1btjB79myCgoLQaDSo1Wp8fHxSFKqSMnnyZGJiYhg3blyc498r1D5//pxx48bRu3dvWrduzeHDh3n16hU7d+5k48aNREZGcuDAATp16sSlS5f4/fffMTc3p2fPnuTIkYOrV6/y5s2b73GrOmq1mmPHjvHx40e9yqtUKubOnUtYWBhjxozRa3uohEi4FUIIIYT4/iTY/s1SG2r9/f2xs7Oje/fu1KlTh+vXr1O9enV2796Nh4dHivbz1Gq15M6dm3LlyqX2NoAvPcd79uzBycmJMmXKkD9/foYNG0b69OkpWrQoBw8eJDIyEq1Wy/Dhw7GxseH06dPxtvRJnz49M2fO5NChQ+zcuTPV7Uks3M6bN4+QkBC8vLxSHcS+5ePjQ+bMmXVzlM3MzJg3bx4XLlygQIECNG3alMaNG3P9+vU0X0tRFHbv3k3ZsmUZPnw4Xbp0ISQkhIEDB2JkZAR86SkPCwvj8uXLab4eQO7cuRk3bhwLFy7UzTv9XqEWYOzYsSiKots399utgN69e0eDBg3w8PDg/PnzPH36lHXr1hEVFUVUVBS//PILxsbG1KpVi0mTJnHq1CmioqLSdM8ajYZ3796lOJR2796dWbNmMX/+/GS3h0qqHgm3QgghhBDfkSL+NhcuXFBMTU0VGxsbJSIiQq9zHjx4oHTs2FEBFBsbG+X48eOKoijK58+fldKlSys1a9ZUYmJiUtSOSpUqKR06dNC7fGBgoAIop0+fVvz9/ZUJEyYo9vb2ipGRkQIohQoVUnr27Kls2LBBCQsLU3r16qVYWVnFq8ff31/Jli2bYm9vr7x+/TrOezExMUrDhg2VYsWKKR8+fEjR/Xzr1atXSvXq1ZXs2bMr+/fvV3LkyKH88ccfaarzWxqNRmnUqFGC78XExCjbtm1TihYtqhgZGSlOTk5KZGRkgmVjn21gYGCC71+9elVp2LChAij169dXLl26lGC59+/fKxkzZlQ8PT1TdT8J+fjxo2JpaanUrVtX8fb2VgDF2dk5xZ+3bwUFBSkGBgbKzJkz4713+fJlJXfu3Er58uWVZ8+exXnv3r17CqD89ddfyo0bN5S5c+cqLVu2VLJnz64ASo4cOZSWLVsqc+fOVW7cuKHExMQk+3y/Fh0drZiZmSmjRo1K0f2EhoYqWbNmVRwcHBRFUZSoqChl6dKlSu7cuZXMmTMrkyZNUt69e6dXXWfOnFFy5sypVK1aVXn58mWK2iHE3wGQl7zkJS95yeuHeun9f9jf+P/j/7SUhtq3b98qEyZMUDJnzqzkzp1bWbZsmRIdHa17f86cOYpKpdLrF/avPX/+XFGpVMry5cuTLRsTE6Ncv35dGT58uAIoWbJkUeBLgPj111+VefPmKcHBwfGCzsaNGxVAefDgge5YUqE21tWrVxVDQ0PF3d09RfeUkNhwmz59eiVr1qxKWFhYmuuMpW+IfP/+veLm5qZkyZJFMTMzUxYuXKhERUXFKZNY8IqIiFAcHR0VQ0NDpVixYsr27duTDZRJhe3U2rNnj+4fke8RamNiYpS6desqJUuWVD5+/JhgmcTC7bJlyxSVSqWEh4fHKf/582fF399fmThxYrwvXJo3b64Aio+Pj17ta9++vWJra5vi+5o2bZpiaGioXLlyRXfsxYsXirOzs5IuXTqlcOHCyl9//aXX85NwK34k//YvL/KSl7zkJS95ffvSl+r//iMT31FKhh8risKmTZtwcXEhNDQUJycnxowZE2el2/DwcCwsLGjVqhVLly5NUVs2bdpEu3btuH//PgULFoz3flhYGIcOHcLHxwetVsuDBw8wMjIiKiqKfv360bVrVypVqqQbApuQ58+fkzt3bpYvX063bt04efJkvOHHiXF0dGT58uWEhISQN2/eFN3bt/z9/alRowYZM2bk6NGj2Nrapqm+WIcOHUKtVhMUFET58uWTLf/48WNGjRrFqlWrKF++PN7e3tSpUweAc+fOUalSJQIDA7GxsSEqKoolS5bg6urKx48fGTNmDE5OTnqtEO3h4cG4ceOIjIz8bqtdxw4/zpEjB6GhoWTKlClN9W3bto1WrVqxZ8+eJBc7u3LlCvXq1SNv3rwcOnQIMzMzOnTowM2bNzlz5kyS13jz5g1Hjx5Fq9Wya9cu3XY81tbWuvnI9vb2Cd7LsmXL6NOnD8+fP0/Rgm4fP36kTJkyFC9enP3798cZph0SEsLQoUPZtWsXtWrVwtvbG2tr6yTrO3v2LBqNBisrKw4cOJCmla6FSAuVSkVG6wH/djP4cGEewA/RFvix2hPblvef//1f3zKl+/Jv34/0XH6EtsCP1R5pS8J+pLbAj9WeH60t+sZVmWP7naUk1MZu39K+fXusra25cuUK06dPj/dL7fjx44mKimLKlCkpbo+Pjw8lS5bUhdp3795x8OBBXFxcsLa2Jk+ePHTs2JGAgADatGnDnj17OHz4MAC9evXCzs4uyVALX+abVqxYER8fnxSF2th7y5AhA6NGjUrxvX1NURRGjx6NhYUFFStW1GufW33FzlEuW7asXuXNzc1ZuXIlp0+fJnPmzNStW5c2bdpw586dOOV8fX2xsbGhf//+NG/enODgYIYPH653SFWr1bx//x5/f/8U31NCYkNt9+7defv2Ld7e3mmq78OHDwwdOpTGjRsnu4L3t3NuY79w0Wc15KxZs9K0aVO8vLzYtGkTABMnTqRcuXKsXbuWhg0bYmxsjFqtxt3dncDAQKKjo4EvzzAmJkb3mddXhgwZmDFjBgcPHmTPnj1x3ovdHmr//v08e/YMGxubZLeHkjm3QgghhBBpI8H2O9I31H67fcuBAwfYsWMHFhYW8cpevnyZBQsWMHbsWL32q/2WVqulQoUKuLm5Ub9+fYyNjWnYsCHr1q2jQoUKrFmzhsePH3Pp0iVmzpxJkyZNUrQwVSyNRsO+ffto0KCB3qEWwNjYmEmTJrFixYpke+aSsnXrVo4cOcLs2bM5cOCAXvvc6svHxwe1Wo2BQcr+utja2nLixAnWrl3LyZMnKVWqFPPmffkGzNnZmfr165M1a1YCAgJYvnw5+fLlS1H9FSpUIFeuXHrtxZqcrxeKWrZsGQMHDmTy5Mk8fvw41XXOmjWLBw8eMHPmTL3Kfx1ua9asybNnz1K9zU/Tpk1ZvXo1jx494vLly7i7u5MxY0YmT55M5cqVyZ07N+3atePAgQMUKVJE721/vta8eXPUajWDBw9OcMunhg0bEhQUpPf2UBJuhRBCCCFST4Ltd6JPqP12+xZvb28uXLhAgwYNEqxTURScnJwoVqwYDg4Oerfl9u3bLF68mMaNG3Pnzh3++usvpk6dSubMmZk+fTpXrlzh4cOHrFq1is6dO6c4UCXE3NyciIgILC0t9Q61sXr37k25cuVwdHRM1fY/79+/x9nZmaZNm9KoUSO99rnVV3h4OOfOnUt1wDIwMKBTp07cuHEDR0dHVq5cCXwZerpmzRpOnDhBlSpVUl13/fr1UxXKvpbQ6sdjx44lU6ZMqe5Jf/z4MVOmTGHQoEFYWVnpfV5suH38+DEqlQpLS8tUXT+WSqWiTJkyODk5sXv3biIiIjh69CgDBgzgwYMH9OvXj7t377J06VL++OMPtmzZQkREhN51z5o1izt37jB79uwEy6RLl063PVSnTp2S3R5Kwq0QQgghROpIsP0Okgu1ylfbtwwbNky3fcugQYNIly5dovXu3LmTQ4cOMXPmTNKnT59ouYiICDZv3kzfvn0pXrw4xYsXp3///gQHB6NSqdi3bx8RERHs2rULR0dHSpcu/d22wQE4efIko0ePxsDAgDZt2qQo1AIYGRnh5eXFyZMnWb9+fYqvP3PmTB4+fBinZ/B7hVtfX18URUnTHsAxMTFs3bqVNWvWYGhoCHzZOmnu3Llp7lFWq9WcPXuWyMjIVJ2f2JY+xsbGTJ48mVWrVqWqjSNHjiRTpkyMHTs2xeeWKVOGChUqkC5dOpo0acLz589TXEdi0qdPT61atZg4cSInT54kPDyc4cOHExUVxcGDB2nTpg1mZmbY2toyatQoDh8+nOQ+t2XLlqVfv35MnDiRp0+fJlrOzMyM+fPnc+HCBfLnz0/Tpk1p0qRJgttDSbgVQgghhEg5CbZplFyovXbtGo0bN6ZZs2YUKlSICxcuMHfuXExNTZOs9+PHjwwdOpQGDRrQtGnTeO8dPnyYUaNGUaVKFczMzGjbti1Hjx6lSZMmbN++nfDwcCpWrEjVqlVp1KhRkgE6LWLn1FasWJHatWtz7NixVNVTr149fv31V4YPH87bt2/1Pu/Ro0e4ubnh4OAQr3fve4RbrVaLlZUVBQoUSPG5AKdOnaJatWp07doVe3t7tm3bBsDixYv58OEDVatWpWvXrqke8qvRaFAUBV9f3xSfm9w+tb169aJ8+fIp7kkPCAhg9erVTJ48mZw5c6a4XR8+fODcuXMMGjRIN+f2e4bbr+XMmZMRI0ZgYGDAyJEjuXfvHkuXLqV48eIsWbKEevXqYWxsTKNGjZgxYwYXL16M9yzGjx+PkZERY8aMSfZ65cqV49ChQ2zdupXr169Trlw5Bg8ezIsXL+KUk3ArhBBCCJEyEmzTIKlQGxkZiZOTE+XKlSMkJITt27ej1WopV66cXnV7e3tz9+5dZs2ahaIoBAUF4enpSaNGjTA2NqZevXosXboUCwsLli1bxv3797l+/Tpz5syhRYsWZM2aFV9f31QPodXHtwtFNWrUiGPHjiXZw5UUT09PwsLCmD59ut7njBw5ksyZM+Pq6prg+2kJt4qioNVqU9Vb++jRI7p06UK1atX49OkTR48eZePGjbph37ErIy9atIi9e/diaWnJ1KlT+fDhQ4quU6hQISwsLFI8HDm5UAtgaGiIl5cXp06dYt26dXrVGxMTg4ODA+XLl6dXr14palMsf39/Pnz4QJcuXeIsKPV3htsqVarg4+NDoUKF6NGjB+vXr+fp06ecP3+eCRMmoCgKY8aMoUKFCuTNm5dOnTqxYsUKHj58iKmpKRMnTmTZsmWcO3cu2eupVCp+/fVXrl69yqRJk1iyZAkWFhYsWrRIt6gVSLgVQgghhEgJCbaplFiojYqKYsGCBbrAOWXKFK5evUqLFi30Hv775MkTJk6cSN26dZk8eTL58uXD2tpaN6xz0qRJXLhwgSdPnrBu3Tq6d+8ebyufc+fOERkZ+bcF24RWP9ZoNLx7946TJ0+mqs5ixYoxdOhQpk+fzr1795Itf+rUKdasWcOUKVOS7BlMbbi9ffs2d+/eTdEzfP/+PVOmTMHS0pIDBw6wePFizp49S61ateKVNTQ0pE+fPoSEhNCnTx/GjRtHqVKl2Lp1a4p6SDUaTYoWkNIn1MaqW7curVu3ZtiwYbx58ybZutetW8fp06fx9vbWDbtOqdhVqMuVKxdvteS/K9xqNBoOHTpETEyM7piBgQHW1ta4uLhw4MABIiMj8fHxoUePHty4cYOePXtSsGBBrKysuHbtGgUKFGDAgAF6/+wyZszIiBEjCA4OpmnTpvzxxx/Y2Nhw5MgRXRkJt0IIIYQQ+pFgmwqJhdrDhw/rtm9p1qxZirZvefnyJTt27GDgwIGULFmSt2/f4uPjw82bN+nZsye+vr5ERESwf/9+hg4dSoUKFZJcpVer1ZI1a1bs7Oy+233HSmxLnwoVKmBmZpamVXpHjhyJsbExw4YNS7JcTEwMjo6OWFtb06NHj2TrTU241Wq1GBoa6vagTYqiKGzevJnSpUszfvx4+vXrR0hICL1790424OXMmZOZM2dy+fJlSpcuTevWralfvz4XL15M9rrwJZTdunUr3nZCCUlJqI3l4eFBeHg406ZNS7LcmzdvGD58OG3atNHrmSXGx8eH+vXr6z7f/0S4VavVhIeHc/78+UTLZMyYkfr16+Pm5sbZs2d59uwZf/31F7Vq1WLv3r08ePCAU6dOYWVlxbhx4/Dz8+Pz58/JXju57aEk3AohhBBCJE+CbQolFGpv375N69atqVevnm77lhUrViS52vDnz585fvw448aNo3r16piamtKyZUu2b9/Oq1ev6NWrF+Hh4QQEBDB16lTq1q1LxowZ9W6nj48PderU+e5za5Pap/Z7rNKbLVs23N3d+euvv5Kcr7t27VoCAgJS1DOY0nDr4+ODnZ1dvH2FvxUUFETdunVp27YtZcqU4fLly3h6epIjRw692hWrZMmS7Nmzhz179vD48WMqVqxIv379kg1yderUwcDAINkvFFITagGKFi2Ks7MzHh4e3L17N9Fy7u7uhIeH4+HhoVe9CQkPDycwMDBeL/nfHW6rVatGlixZUvSljKmpKW3btmXx4sXcuXOHmzdvUqFCBR48eMCcOXOwt7fHxMSEZs2aMXv2bK5evZpkb25C20ONGTOGN2/eSLgVQgghhEiGBNsU+DbUpkuXjtGjR1O6dGlOnz7Nn3/+mej2LYqicPXqVby9vWnWrBkmJibUqlWLOXPmkD9/fubPn8/NmzcpXLgwZcuWZcGCBZiYmKSqne/evePEiRNpWsk3IUmF2lhpXaUXoHPnztja2uLk5BRnzmGsN2/eMGLECNq2bZvgEN+k6Btuo6Ojk52j/OzZM93w0adPn7Jv3z52795NyZIlU9SmbzVp0oSLFy/i6enJ+vXrsbCwwNvbO9Hev5w5c2Jra5vkFwqpDbWxRowYgYmJSaI96Xfv3sXT0xNnZ2eKFCmSorq/ltQq1H9nuE2fPj21a9dO05cyxYsXZ/PmzURFReHg4EBAQAAjR47k7du3uLi4UKZMGQoWLEi3bt1Yu3YtT548iVfH19tDubi44OnpScmSJVm7di02NjYSboUQQgghEiHBVk9fh9qDBw+ya9cuLC0tmTlzJsOGDePGjRt07NgxTmAIDQ1l7dq1dO3alQIFClCmTBmGDRvGu3fvGD16NGfOnOHZs2ds2rSJPn36EBAQgL+/P15eXhgZGaW6rcePH+fTp0/fdX6tPqEWvgyLjYmJ4fDhw6m+loGBAV5eXpw/f54VK1bEe9/NzY3IyMgULTL1NX3CbWBgIJGRkQkGrE+fPjFr1iwsLCzYsGEDM2fO5OLFizRq1ChV7UlI+vTpGTx4MCEhIbRv357BgwdTvnx59u/fn2B5tVrNoUOHEvwiIK2hFiBr1qxMmzaNTZs2cfTo0Xjvu7i4YGpqyogRI1Jc99d8fHwoWbJkvDnjsf7OcKtWq/Hz8+P9+/eprqNEiRIMHjyY6dOnkzdvXkaNGqWbRrBv3z5+++03zp8/T5cuXciXLx/ly5dnyJAh7Nu3L85q4FmzZmXSpElcv36d6tWr06VLF6pXr050dLSEWyGEEEKIBEiw1cPXodbNzY0mTZrotm+5fv06EydOJEuWLLx584a9e/cyePBgypUrh7m5OV26dOHixYt07NhRtwDNoUOHGDFiBJUrV9YNo3379i3Dhg3j119/pX79+mlqr1arxdzcnFKlSn2P29c71AIULlw4Vav0fqtatWp07tyZUaNG8fLlS93x27dvM2PGDFxcXNLUM5hcuPXx8SFbtmzx5ijv27eP8uXL4+zsTIcOHQgJCcHR0fFv204pV65cLFy4kHPnzpEnTx4aN27ML7/8QnBwcJxyGo2GiIgILly4EOf49wi1sTp16oSdnR2Ojo5xAvSRI0fYvHkz06ZNS/Eext/SarXJfiHzd4VbjUbDx48f8fPzS1M9o0ePJnv27AwfPlx3LEuWLDRq1AhPT0+CgoJ48uQJf/75J5UqVeKvv/6iSZMmGBsbU6dOHSZPnszp06eJjo6mSJEibNq0iSNHjui2h5ozZw7r1q2TcCuEEEII8RUJtl+JiVHYceER7RefpMa0Q7RffJI5O09Sv74ac3NzSpQoQcOGDXXbt/z555+EhoYyefJkateujYmJCU2bNmXLli3Y2tqybt063ZYhHh4eNGjQgMyZMyd47enTpxMWFoanp2ea78PHxwe1Wp2mEBMrJaE2llqtTtMCUrHc3d15+/YtkyZN0h1zcXHBzMwsTmhIraTCrVarjTNH+caNGzRt2pQmTZqQL18+zp8/z4IFC8iVK1ea26EPa2trDh8+zObNm7l8+TJly5bF2dlZF/qrVq1KlixZ4nyh8D1DLXzpSff29iYoKIhly5YBX4ZsOzo6UrVqVTp27Jim+m/fvs2dO3f0GkL/d4TbMmXKkDdv3jR/drNnz46bmxvr169PNCTnyZOHjh07smLFCh48eMC1a9eYOXMmOXLkYPr06VStWhUzMzNatWrFggULMDc35+zZs7rtodq2bUvHjh25du0aDRs25MXLl/H+7dpx4RExMfqvri2EEEII8TOTYPt/YmIUnDaex3HjBc7cjeDRiw+cuRvBjJMRZK7fj5s3b3H48GEmTZpEz549mTVrFmZmZlSrVg0PDw9MTEyYNWsWN27c4N69eyxbtowOHTqQO3fuZK997949pk+fztChQylWrFia7uPp06cEBQV9l2HIFy9eTHGohS89Xzdv3kxyoSF95M+fn1GjRuHt7U1wcDCHDx9m69atTJ8+nSxZsqSp7lgJhdu3b9/i7++PWq3mxYsXDBkyhLJly3L16lW2bNmCr68v5cuX/y7XTwmVSkXr1q25du0a48aN020rtWTJEgwNDaldu7YulH3vUBvLzs6O33//ndGjR/PixQuWLl3KxYsX8fb2TnKVbn2kZBVq+P7hVqVSoVar0zzaAKBr165UqlQJJyenOFsIJXZdKysrBg4cyI4dOwgPD+fEiRM4OTnx7NkzHBwcsLS0pESJEpw5c4Zp06bRpUsXFi9eTJYsWbh48RJVBy+M92+X48YLOP11QcKtEEIIIf4nSLD9P7suPmbnxVAAYn8PjP3ToJgdhex/JUOGDLi6ujJ48GDCw8MZOnQo/v7+hIeHs23bNgYMGIClpWWKQ8Tw4cPJmTMnI0eOTPN9HDp0CCDNw5kBBgwYkOJQC1/2PjUwMPguAWHIkCHkz5+fIUOG4OTkRLVq1ejQoUOa6/3at+F26dKlfPr0icjISCwsLFi8eDETJkzg2rVrtGrV6ruFxNTKlCkTo0ePJjg4mIYNG9KnTx8qV65MsWLF8PPzY8aMGX9LqI3l5ubG+/fvGTNmDGPGjOH333/H1tY2zfVqtVpsbW1TtJr0t+E2LYuWwZcvZc6fP8+zZ8/SVE9s73ZgYCCrVq1K0bnp0qWjevXqjBs3juPHjxMeHs7OnTtp0aIFJ06coGfPnixcuBALC4svK6UXrsSHPGWB+P927Qx6zK6Lj9N0L0IIIYQQP4PUr1D0H7Mu4D4Gqv//C+HXlJhoPhSojL1pDHZ2dlSqVCnOkGJ99xtNyPnz59m4cSPjx48nJCQk1fXE2rhxI8WLFyc0NJTQ0NBU1bFz504AChYsyNSpU+PN59RH6dKl2bRpE5UqVUpVG77Wv39/3dDj1atXJ7nXaFq4u7szaNAgnJ2dMTAwYPz48TRt2pRBgwaRK1curl69muZrXLt2Lc6faTV48GDUajUeHh7MnTsXAGdnZ7p06aJbqOjv0K1bN+bPn0/69Onp2LEj586dS1N9sYsitW/fPlV1zZ07l759+9KtWzcg9c83doTFsmXLaNCgQarqiJUpUyYaNmyIs7MzxYsXT9P84/z589O1a1e6du1KWFgYp0+f1r2yNeyNEhONyiD+tlcGqi//trWwzp+WWxFCCCGE+OGplKQ2VvwfUmPaIR69+JDo+1Evw3i0oMc/2CIhhEhe/n7LMcqR+JSH/DkzcWJ4vX+wReJnplKpyGg94N9uBh8uzAP4IdoCP1Z7Ytvy/vO//+tbpnRfRgT9SM/lR2gL/FjtkbYk7EdqC/xY7fnR2qJvXJUe2/9TwDgzoS8/JNpjG/XiKRkzZqRSpUrY2dlhZ2dH8eLF0zTMc9u2bUyePJkVK1Z8lzmbd+/epXXr1nh7e1OzZs0Un3/x4kUGDhxIgQIFuHHjBmvXrk31ysqBgYH06dMnTXXE8vT0ZNu2bXz69InBgweneZGib71//54VK1awZs0asmbNSkREBAULFiQiIoL58+dTtmzZ73ata9eu0blz5+/yXL62YcMGPDw8KFy4MK9fv+bVq1cYGxvj6OhIo0aNvvtwZAcHB65du0ZERESqP29fW758OStWrMDX1zdNK0xrtVpGjBhBgQIFWLlyJcbGximuw8PDgyNHjrB79+7v8twWL17MsmXL2LRpE4UKFUp1PZ8/f+bixYu6ntqrV68SExND9KswDLOZJtpjW8A4U1qaL4QQQgjxU5Bg+3862hbi9J2IBN9TGRjCLT+aNm3KixcvmDdvHjNnziRv3ryo1Wo0Gg1q9ZeVk/X18uVLFi1aROfOnXXDJ9PK39+fdOnS0aNHjxQPezx58iQODg7Y2NgwdepU7O3tKVWqFDY2NqlqS9myZXFycuLhw4d06tQpVXXAlyD4119/MWXKFO7cucOyZcsYMWIEZmZmqa4zlqIorFu3juHDh/P8+XNcXFwoVqwYPXv2xNfXl65duzJo0CDd3M/vKS3P9ltz5szBw8MDZ2dnypYtS7du3QgICMDd3Z0xY8awd+9evL29qVy58ne53t69ezlx4gRbtmxh7ty5zJ8/n379+qUpkDo7O1OvXr142yulxogRI3j79i1Dhgzh0KFDKf6sdOrUiQ0bNpA9e3YsLCzS3J6ZM2eyb98+VqxYwY4dO/Q+T1EULl++jI+PD1qtlqNHj/Lu3TtMTU2pVasW5ubm+Pr68vnaYTIUTPjLlxjly79tQgghhBD/dbJ41P9pVt6c5hW+BFMlJjrOn++uHsUy42u2bNnCixcv2Lt3L1qtlt9//50rV67QtWtX8ufPT5kyZXBycmL37t28fv06yetNnjyZt2/f4u7u/t3uQavVUq1atVSF2q9XP05sS6KUSJ8+PbVr107TAlKKojB48GAKFy6Mk5MTkyZNQlEUxo4dm+b2nTlzhho1atC5c2eqVq3KtWvXmDx5MsePH6dcuXKUKFEiyX1ufxTfrn4cuxr2rVu32LJlC4cOHeL169dUqVKFHj168OTJkzRd79OnTwwZMoS6devy66+/4uXlRUhICPPmzUt1ne/evePEiRN6bfOjr0WLFqV6teTatWtjZGT0XRY/A8icOTPTp09n586dydb56NEjVq1aRZcuXTA3N6d8+fKMHDmSz58/M3bsWAICAnBzc+PEiRMcP34cW1tbws8d5P31418qUL6swKziy9CT5hXMaVZe/y/chBBCCCF+VhJs/4+BgQqvdtaYXN9BpjePiXoZxufH13m2YzrFwo5z6uRJXQitX78+y5cvZ+DAgZw7d46wsDA2bNhA9erV2b59O82aNcPExIRatWoxceJETp48SVRUlO5awcHBeHt7M3LkSPLn/z6LukRFRXH48OEUb/OTmn1q9aXRaPDz8+P9+/epOn/v3r0cOHCAGTNmkCFDBnLlysW4ceNYtGhRqhfsCg0NpVu3btja2vL27Vt8fX3ZvHkzRYsWRVEUtFqtLmAltc/tjyChLX3Mzc0pXbq0LkDVq1ePc+fOMX/+fHbu3ImFhQXTpk3j48ePqbrmvHnzCAkJwcvLC5VKRfny5enTpw/jx49P9UrCx48f59OnT99li6pYxYsXT/VWQNmyZaNq1arfZS/mWO3ataNmzZo4OTnF+bfg9evX7N69G0dHR8qUKUOBAgXo1q0bV65c4ffff+fgwYNERkai1WqpUaMGf/zxB3369EGtVtOlSxf8/f2pWbMGb7XzeLZjOoUyfSbqZRjGURF4t7fGq501Bgb/7ireQgghhBD/BAm2X3n79g2Xdq/g1+z3eLSgB6Frh2NtHEXY06c0adIEV1dXXF1dWb58Ob6+vpQsWZIJEyaQJUsW2rdvz5IlS7hz5w7BwcHMnj0bMzMzZs6cSfXq1TE1NaVly5a61VvNzc0ZOnTod2t7QEAAr1+/TlE4+DtDLXwJth8/fsTPzy/F58bOp61fvz4tWrTQHR8wYAAWFhY4OTnpPZEc4MOHD7i7u2Npacnu3btZuHAh586do27duroyN27c4NGjR3Ge4Y8abpPap1aj0aDVanXPx8jIiH79+hESEkLPnj0ZPXo0ZcqUYceOHSl6hmFhYUyYMIG+ffvGmRM+ceJEVCoVrq6uqboXrVaLubn5d51zDGnb51aj0eDr6xsnhKaFSqXC29ubq1evMmzYMCZMmIC9vT0mJiY0a9aM7du3U61aNTZs2EBYWBjnzp1j2rRpaDQanj17xm+//Ya9vT0GBgb4+fmRL18+Fi9ezPDhw/H396dOndoYPDiHZ+MCXxa5O+RFC+v8EmqFEEII8T9Dgu1Xjhw5QlRUlG6eX6ZMmbCzs+PBgwdUqVKFZs2a0bZtW8zMzAgODsbBwYGpU6diZWXFxo0bURQFlUqFhYUF/fr1Y+vWrTx//pxTp07h4uLCixcvcHJy4siRI7x584YBAwawfv16wsLC0tx2Hx8fcuTIoff2On93qIUvwSJv3ryp6vmaM2cOt27d0vUMxkqfPj2zZs3i8OHDbNu2Ldl6FEVh27ZtlClTBldXV3r16kVISAh9+/bF0DDuYjtarZZ06dJRq1atOMd/tHCbVKgFUKvVPHjwIN72UcbGxnh5eXHx4kWKFy9Oy5Yt0Wg0XL58Wa/rurq6olKpmDhxYpzjuXLlYvz48SxevJgLFy6k+H58fHxQq9V/y/7AqQ23arWaly9fEhgYmKbrK4rC9evXmTt3LhMmTCBdunTMmjWLmTNnkitXLry9vQkODubu3bssXbqU9u3bkytXLuDLEO3x48djZWXF0aNHWblyJadOnWLbtm3MmDGD2bNnc/r0aSwtLXn79i116tTByOjLsgmXLl3izZs3aWq7EEIIIcTPRILtV3x8fChcuDAFCxYEwMbGRrdSsJubG7NmzaJZs2a0bt2ao0eP4u7uzpUrV7CxseG3336jVq1a8fbgNDIyws7OjjFjxqDVailevDjlypWjS5cunDlzho4dO5InTx6sra1xcXHhwIEDvHv3LsVt12q11KtXT/eLbVL+iVALX3qp1Gp1iucqhoWFMXHiRPr165fgisSNGzemSZMmDB06lA8fEt+i6dKlS6jValq1aoWlpSWXLl1i1qxZia6U6+PjQ/Xq1cmSJUu8936UcJtcqIX/P0c0sS8USpcuzf79+9m1axf379+nQoUKDBw4kPDw8ESve+HCBZYsWcKECRMSXIypf//+lCxZMsU96U+fPiUoKOi7DkP+VmrCra2tLdmzZ0/VPNuwsDDWrVtHjx49KFSoEKVKlWLIkCG8ePGCIUOGkDlzZjp16sTWrVvp378/FhYWcX6OiqKwYcMGrKyscHNzw9HRkeDgYH7//XeGDx/OjBkzmDNnDubm5hw5cgQ3Nzf8/f3jPMOoqCiOHTuW4rYLIYQQQvysJNh+RavVotFodL9kVq1aFT8/P1xcXMiYMSPjxo1jw4YNunC7a9cuSpQowfbt2zl48CARERFUrlyZ3r178/Tp03j1L1iwgJs3b7J69WpmzZrFpUuXCA0NZc2aNVhbW7Nu3ToaNWqEsbEx9erVw83NjbNnzxIdHZ1ku1+/fs2pU6f0Wnznnwq1sdRqNefPn0/R/MsxY8ZgaGjIhAkTEi0zc+ZMHj58yKxZs+K9Fx4ezoABA7C2tubhw4fs2bOHffv2YWVllWh9nz9/TnaO8r8dbvUJtbHtrFatWpKhTKVS8csvv3D58mWmT5/OmjVrsLCwYO7cufGG3yqKgpOTE1ZWVvTr1y/B+mJ7Io8ePcrWrVv1vqdDhw4BX+at/51SGm6NjIyoW7euXsH23bt3HDhwAGdnZypUqECePHno1KkTZ86coW3btuzZs4eIiAjdl2ETJ05k8eLFCfaUBwYGYm9vT4cOHahUqRJXr17Fzc2NrFmz4uLiogu1vXr1wtnZmSZNmpApU6Z4c5Tz5s373Ra/EkIIIYT4GUiw/T+PHj3i2rVrccKhra0tHz9+5MqVK0yePJmVK1dy4cKFeOEWvszJCwoKYvbs2WzZsgULCws8PT359OkTAM+fP2fcuHH06tULa2tr3TXy5s1L586dWblyJQ8fPuTKlSt4eHiQJUsWpk6dSpUqVcidOzdt27Zl0aJF3L59O17bjx49SlRUVLK9Xv90qAV0z9PX11ev8ufPn2fp0qVMmDABU1PTRMuVLFmSQYMGMWXKFB4/fgx8CaezZ8/GwsKCtWvX4uHhwaVLl2jSpEmy1z1z5gyvX79O9suBfyvc6htqY6nVag4fPpzsHNH06dMzdOhQgoODad26NQ4ODlhbW8cJRVu2bOHo0aPMmjUryS19GjVqRNOmTXF2dtZ7wTAfHx/Kli1Lvnz59CqfFikNt2q1mpMnT8Yb0hsdHc2ZM2eYOnUq9erVw9jYmEaNGrF+/Xqsra1Zs2YNjx8/5tKlS8ycOZMmTZrE+bs2aNAgihUrFqd3+8mTJ/Ts2ZMqVarw4sULtFot27Zto3jx4iiKEifUDhw4UPfFzsyZM/Hx8cHc3DzOFze2trbfdfErIYQQQogfnQTb/xP7S+DXPUfFixfX9Xz07t2b8uXL4+DggJGRUYLh1sjIiIEDBxISEkLXrl0ZMWIEZcuWZffu3bi6uqIoCpMnT060DSqVitKlS+Pg4MCuXbuIiIjg+PHjDBw4kMePHzNgwACKFy9O8eLF6du3L5s3byYiIgKtVkvhwoUpUaJEonX/G6EWIH/+/HFW6U2Koig4OjpSqlQp/vjjj2TLjx07lkyZMjFy5EgOHjxIhQoVcHJyok2bNoSEhDBkyBDSp0+vVzu1Wi05cuTQa6/XfzrcpjTUwpcvWl6+fMnZs2f1ukaePHlYsmQJZ8+exdjYmAYNGtCiRQsuX76Ms7Mzv/zyCw0bNky2nq8DV3JiV6H+O4chfysl4Vaj0fD582eOHTvGrVu3WLRoEW3atCFXrlzY2tri5uZGlixZmD59OleuXOHhw4esWrWKzp07JxnU06dPz8yZMzl06BBbtmzBw8MDS0tLtm/fzty5c7lw4YLuC5aEQu2jR4+YOnUqDg4OlCxZMt5IE/gy2uTy5cuEhoZ+v4cnhBBCCPEDk2D7f7RaLRUrVowzf/DrOaKGhoZ4eXlx6tQp1q1bR7p06RIMtwCmpqbMmTOHCxcuUKhQIZo1a8bChQv5448/dAvD6CNdunTUrFmTCRMmcOLECcLDw9mxYwdNmjTh6NGjuoWsFi9eTM6cOTl8+HCC27j8W6E2VuwzTG7u5aZNmzh+/DheXl5J9gzGypkzJw4ODqxevZqGDRuSK1cuAgMDWbx4Mblz505RG2PnKH+7oFRi/qlwm5pQC1ClSpVUzRG1sbHh2LFjbNy4kfPnz1OhQgUePHiQ5LDwr1laWuLo6MjUqVN59OhRkmWDg4N5+PDhd92/Vh/6hNvw8HCCgoLIkiULHTp0oESJEgwYMIDQ0FAGDRrE8ePHiYiIYNeuXTg6OlK6dOkULX7VpEkTKlasSIcOHRg5ciTdunUjJCSE/v376+bJJxRqAUaOHEnmzJlxdXXVzVH+9hlWqVIFQHpthRBCCPE/Q4ItX36B9PHxSbDnSKPRcOHCBZ49e0bdunVp3bo1w4cP5+3bt0mGW4CyZcty8OBBypYtS7p06fD09MTR0ZHIyMhUtTNHjhw0b96cOXPmcP36de7fv4+npycfPnzgzp071K9fH2NjYxo2bIinpydBQUGcOHHiXw218OUZ3r9/n5s3byZa5v3797i4uNC8eXO9evBevnyJi4sLEydOJF26dFhYWODr60vFihVT3L5Xr15x6tSpFPcc/t3hNrWhFv7/HNHUBBuVSkW7du3w9fXF0NAQAwMDmjRpwvLly4mJiUn2fFdXV7JkycKIESOSLJfYKtT/hG/D7cOHD/H19WXkyJFUrlyZXLly0b59ewwNDTEyMmL79u2Eh4dz4sQJJkyYQM2aNfX68iUhV65coVGjRpw/f56oqCgcHByYPXs2JiYmujKJhdpTp06xZs0apkyZQs6cOXVD/L8NtiYmJlhbW0uwFUIIIcT/DAm2wOXLl3n69GmCwSb2F8bYRW48PDx4/vw506ZNA0g23O7YsYPLly+zefNmpk6dyvLly7GwsGDBggVp3iOzYMGCunmowcHBXLhwgUmTJqFSqRg7dizW1tbY29uTMWNGfvvtt1QH6rSKXaU3qd5DT09PQkND8fT0TLKu6Oholi1bhqWlJfPnz2fcuHHs3r2bkJAQ1q9fn6r2HT16lOjo6FQNif27wm1aQm0sjUaT4BxRfU2YMAFjY2MuXLhA/fr16dmzJ7a2tpw4cSLJ83LkyMGUKVNYu3Ytp06dSrScVqulWrVq/8qXLTExMXz+/JnOnTtz/fp1ChUqRP369XWfrWXLlnH//n0WLlxIREQEtra25MiRI03XjIiIwMHBgQoVKnDnzh127NiBg4MDS5Ys4cmTJ7pyiYXamJgYnJycqFChAj169AC+PMNy5cqRN2/eeNf7dj9jIYQQQoj/Mgm2fBmulyFDBmrUqBHvPXNzc0qXLq3r+ShatChDhw7Fw8ODu3fvAomH2w8fPjB06FAaN25M8+bNGTZsGCEhITRv3pz+/ftjY2Oj96JKSbW9YsWK5MmThwoVKjB06FD279/Pvn37yJw5MwUKFKBgwYIMHDiQQoUKYWVlxcCBA9mxYwcvX75M07X1lS1bNqpWrZpo79GDBw9wc3PDyckJCwuLROvx8/PD1taWXr16odFouHHjBmPGjKFBgwa0adOG4cOHpyrExW7zVLx48RSfC98/3H6PUAtfvpSJnSOaUidPnmTt2rVMmTKFMmXK8Oeff+Ln5wdAzZo16dixIw8ePEj0/B49emBtbY2jo2OCvbxRUVHJrkL9vd2/f5/ly5fToUMH8ubNS8WKFVmwYAFVqlQhS5YsWFhYcPnyZdatW0f37t0pWLCgbs597BdbqREVFcW8efOwsLBg5cqVuLm5cfnyZZo3b8748ePJkCEDo0aNAhIPtQB//vknp0+fxtvbG0NDQ91Ik8SGcqvVakJDQ7l27Vqq2y6EEEII8bOQYMuXXg97e3syZcqU4Pvf9nyMHDkSY2Njhg0bpiuTULidNWsWDx48iLOQTt68eVm+fDlnzpwhW7Zs1K9fn1atWiW42nFyEhtCffLkSZo1a6bbLiQwMJDnz5+zefNm6tSpw/79+2nZsiWmpqZUr16dcePGcfz4cT5//pziNuhLo9Hg6+ubYC/1iBEjyJYtG2PGjEnw3Pv37/Pbb79hb2+PgYEBJ06cYO3atRQoUEBXxsPDg/DwcNzd3VPctoQW30mp7xVuv1eohS/zXQsWLJjiebYxMTE4OjpSsWJFunfvrjteo0YNAgICWL58Ob6+vpQsWZIJEyYkuO+yoaEh3t7eBAQEsHbt2njvBwQE8Pr167812L58+ZLt27czYMAASpYsSeHChenVqxe3bt2iV69e+Pr6EhERgZ+fH6dOneLly5doNJo4c25z585NhQoVUr11zqFDh7C2tmbQoEG0bNmS4OBgXFxcyJAhAwDGxsZMmjSJFStWEBAQkGioffPmDcOHD6dt27bUrl0b+DJK48GDB4k+Q3t7ezJkyCDb/gghhBDif4PyP+7Dhw9K5syZFXd3d92xwMBABVACAwMVRVGUXbt2KYBy48YNXZnVq1crgHLkyJE49X369Elp1aqVki5dOiVDhgzK4MGDE712TEyMsm7dOqVAgQJK+vTplZEjRyqvXr3Su+2XLl1SAOXgwYO6Y/7+/kq2bNkUe3t75fXr14mee/v2bWXRokVK27ZtFRMTEwVQsmbNqjRt2lQZOnSoAihnz57Vuy3JOXHihAIop06dinPcz89PAZRly5bFO+ft27fKuHHjlEyZMil58+ZVVq5cqURHRyd6jTFjxigZMmRQbt++rXe7Hjx4oADKhg0b9L+ZJLx69UqpXr26kj17duX06dPx3v/2s/W12bNnK4Di7OysxMTEfJf2dO/eXSlTpkyKzlm5cqUCKMeOHUu0zMuXL5Xhw4cr6dOnVwoWLKhs2LAhwTa3a9dOyZcvX7zP9YQJE5QcOXIonz9/TlHbkvLx40dlyZIlCqCUK1dOMTAwUAClWLFiSt++fZVNmzYp4eHhiZ5/+fJlJXfu3Er58uWVZ8+e6Y4PHTpUMTc3T9HP5ObNm0rLli0VQKlRo0aSf5c+f/6slC1bVsmXL58CKHPmzIlXZtSoUUrGjBmVO3fu6I7NmTNHSZcunfLmzRvdsW8/X/Xq1VOaNm2qd7uFAOQlL3nJS17y+qFeev8f9jf+//hTOHLkiAJxg8a3vxy+evVKMTIyUubNm6crEx0drdjZ2SkVKlRQoqKi4tT56dMnpVChQgqgrFu3Ltk2vHnzRhk7dqySMWNGvQJcrJkzZyoZMmRQ3r17pyiK/qH2W1FRUcqZM2cUNzc3pV69eoqRkZECKGZmZsrvv/+urF69Wnn8+LHe9SXk8+fPSrZs2ZRJkybpjkVHRyuVKlVSKlWqFOd+Y2JilPXr1+sC/4gRI/QK/G/evFHy58+vtG7dWu92rVy5UlGpVHGCTFolFW4TC7Z/R6hVFEVZt26dAuj983v16pWSN29epX379nqVDwkJUVq0aKEASs2aNePd1927d5WMGTMqI0eOjHO8Zs2ayq+//qrfTSQiJiZGuXz5sjJr1iyladOmSpYsWXT/ANavX19ZtGiRcuvWrRTVmVC43b9/vwIoV65cSfb8V69e6QJ/gQIFlPXr1yf784yJiVHatm2rAErXrl3jvX/79m0lQ4YMiqura5zjLVq0UGrXrh3n2LefLzc3NyVLlizKp0+fkm27EIoiwVZe8pKXvOT14730pfq//8j+Z40ZM4aFCxcSFhaGgcGXkdnnzp2jUqVKBAYGYmNjA0CtWrUwNTVl27ZtunNPnz5N1apVWbx4Mb1799YdDwgIwM7OjooVK3L58mW2bNlCs2bNkm3LvXv3GDZsGH/99RdVqlRh9uzZVK1aNdHyTZo04f+xd9ZhUeXtH74HLGxAsVtCEQQVERUDZly7de1uVEARQcTAQAEJu9fubndGUFRsJSzAbkXAVlSY3x/8Zl6QmiFc1z33dXG9+875xnPOHPB8zlNfv35FJpPlakufs2fP0rRpUwYMGEB4eDihoaFAciVZiUSCRCKhWbNmau/RqVMn3rx5w6lTpwBYt24dgwcP5vTp0zRt2hSAK1euYG9vz9mzZ+ncuTM+Pj5q5b5u3ryZfv36ERQURIsWLbIc369fP27dusWVK1fUOpeseP/+Pa1bt+b69etIpVIaNmwIpH9v5Wb48Y+8evWKMmXKsGHDBvr375/l+ClTpuDn50dkZCSVK1dWeR+pVIqDgwO3bt1i6NChzJ49mzJlygDJ/Ya9vLy4efMm1atX5/379+jo6BAQEMCYMWPUOp9nz55x4sQJpFIpMpmM58+fU6BAAZo2bYpEIqFixYr0798/1fVVlxs3bmBjY0PZsmU5ceIEhQsXRltbGy8vL+zt7dOdk5SUxIYNG3B1deXt27c4Ozvj7OxM4cKFM91LniKntm7dusTGxnL79m2KFCmiHNO9e3fOnz9PZGSk8vPv37+jq6uLs7Mzbm5uyrE/3l9XrlyhQYMGBAcHY21tna3rIfDfQiQSUcjM7p82gy+hSwB+CVvg17LnV7Tl87d//lFSK3/yv52/wnWBX/N7EmxJza9kC/xa9vxqtqgqV//zObYymQxbW1ulqM0IsVhMUFBQqhxRS0tL+vfvj5ubG2/evAGSH3AVlU9DQkIyrJacHlWqVGH79u0EBwfz/ft3rKys6N+/f7r9QL9+/cqpU6eUlW9zs6WPItfY3t6ea9eu8fLlS7Zu3YqlpSW7d++mXbt26Ojo0Lx5c2bPns358+dVqvCcskrvu3fvcHFxoVevXjRt2pQXL14wdOhQLCwsePPmDVKplL1796pd0KlPnz40atQIe3t7EhMTMx0rz6L4Tk5QNec2L0Ut/C9HVJW2L/fu3WPBggU4OzurJWoh+bsNCwtj4cKF7N69G319fXx8fPj69SuTJ0+mVKlSTJo0CUiuQv39+3eV8ms/fPjA4cOHcXBwoE6dOlSoUIEBAwYQERFB3759OX78OPHx8Zw4cQIXFxdq166tlt3p8WMroE+fPtGkSZMMr2FISAiWlpYMHjyYFi1acPv2bWbMmKGWqF20aBF79uzh1atXeHl5KccEBQWxe/du5s+fn0rsXrp0iXfv3mV575qZmaGjoyO0/REQEBAQEBD47flPC9v4+HguXbqk0gO2RCLh7du3XL58OdXnnp6efPr0iVmzZgGwZcsWLly4gL+/P4UKFcq0FVBGWFtbc+nSJVatWsXx48cxMDBg9uzZfP78WTnm3LlzfPr0iTJlyuR5n1o9PT169erFmjVrePjwIZGRkfj5+aGjo4O3tzdWVlaUKlWKLl26sHTpUqKiotJ9s5KySu/cuXN59+4dHh4eeHt7Y2BgwL59+1i8eDGhoaHZFpsikYiAgADCw8NZvXp1pmMza/OUG2QlbvNa1CpQte2Lk5MTenp6qYqiqUO+fPkYO3Ys0dHRDBw4EBcXF+rUqUNQUBDz589nz549BAYGIpVKqVy5MjVr1kyzxvfv3zl37hyzZs2iWbNmaGtr0759e/bs2YOlpSVbtmzh5cuXXLt2DW9vb1q1apWlgMwOP4rbxo0bc/LkyVQF1p48eULfvn1p0qQJSUlJBAcHs3XrVpVeCvwoaseOHUv16tWZOHEiXl5ePHz4kO/fv+Pg4ICVlRV9+vRJNV8qlVKiRAkaNGiQ6T6amprY2toKBaQEBAQEBAQEfnv+08I2KCiIpKQklUSUhYUFxYsXT/OAWKFCBaZMmcLChQu5evUqkydPpnv37sow2Kz63GaEpqYmw4YNIzo6mjFjxuDh4UGtWrXYtWuX0tNYokQJxo0bl6ei9kdEIhEGBgbY2dmxd+9eYmNjCQkJYeLEicTGxmJvb4+hoSFVq1Zl2LBhbNu2jZiYGAAMDQ2pWLEiu3btws/Pj86dO9OmTRtcXV0ZNGiQ8lzz5cuXIxsbNmzIwIEDcXNzy7R3r1QqzbDNU27xo7i9fv06ANu2bfspohb+1/bl5s2bGY45ceIEe/fuxcvLK5VnMDvo6uqyaNEiQkNDqVy5Mh06dGD9+vWYmZnh4OCQqgq1XC4nKiqKJUuW0KVLF0qVKkXjxo3x8fFBV1cXf39/IiMjefjwIWvWrKF3797o6enlyD5VSSlut2/fzocPH7hw4QKfP39m1qxZGBoaIpPJWLNmDRcvXlQ51Dc9UasgZcX11atXEx4eTkBAQJr7QyqVYmNjg6amZpb7icViLl68+NPaewkICAgICAgI/BP8p4WtTCajZs2aVK1aNcux+fLlo2XLlumG9E2YMIGKFSvSs2dPYmNj8fb2TnU8u+IWoESJEnh7e3P9+nVMTEzo0aMHLVu2ZMuWLXz8+BFzc/OfJmrTI1++fFhZWeHu7k5wcDDx8fEcOnSIrl27cv78eaUQMTc3Z/LkyRgbG7Njxw40NDTYunUr1atXV4aw6ujo5Jpdnp6eJCQk4OHhkeEYmUyWaZun3CKluFXklHp7e/8UUQvJEQAFChTIMBxV4Rls0qQJvXr1yrV969Spg1QqZd++fdy7d4/w8HAiIiK4desWRYoUYejQoVSpUgVDQ0McHByIjY1l4sSJhISEEBsby969e7Gzs8PAwCDPr1FGKMTt27dv0dTUxMvLCyMjI2bNmoWdnR3R0dEMGTJEJYEJmYtaSL5X5s2bx44dO3BxcWHQoEFYWFikGvP+/XvOnz+vcqSBRCIhMTGRkydPqjReQEBAQEBAQODfyH9a2EqlUrVCXlPmiKakUKFCODs7c/fuXbp06ZKuUM6JuIXknqQHDx7k6NGj3Lt3j3v37lG4cGHWr1//j4na9ChatCjt2rXDz8+P69ev8/TpUzZs2ICJiQkbNmzg+PHjfPz4ke/fvzNgwADmzp1LrVq1ct2OcuXK4ebmxuLFi7l9+3aa4wkJCcoc5Z+BQtyWKFECgDZt2vwUUQtQuHBhmjZtmmE46qpVq7hx40a6nsGcIhKJkEgk+Pv7KwuEASxcuJALFy7QtWtXDh06RHx8PMHBwbi7u2NlZZVjr31uYmxszNKlS0lKSuLgwYPUqlWLGzdu4OXlRfHixVVeJytRq6Bfv36UKVOG9+/fK1McUqJOjjJAtWrVqF69uhCOLCAgICAgIPBb858Vtg8ePODOnTtqCZuUOaI/cuLECQoUKMCVK1dS5eGlJKfiFpI9uK9evVL+f3Nzc/z8/Pj69avaa/0MypcvT+/evbG0tExlY61atdi9ezcWFhaULl2anj17smrVKu7fv59rezs4OFCpUiUmTJiQ5tj58+f59OlTnhSOyoh169bx7NkzAIKDg7l06dJP21ssFqfJEQWIi4vD3d2dQYMGUb9+/VzZKzExkcuXLzNv3jxsbW3R0dGhQ4cOREdHU6FCBeU4DQ0NOnbsSLt27X6plzMpefXqFSNGjKBnz57o6uoCybm12traaq2jqqgFiIyM5PXr1yQlJXHs2LE0x2UyGVWqVFGrsJpEIhEKSAkICAgICAj81vxnha1MJkNDQ4OWLVuqPMfAwIBKlSql8XycPHmS3bt3M23aNO7evcuSJUsyXCMn4lZR/VhHR4fq1atz9+5d+vTpg5OTE6amphw9elTltX4WJ06cwMzMjHHjxmFoaIhIJEJfXx9zc3Pi4uIIDg7Gzs6Ox48fM2rUKKpXr07NmjUZPXo0u3fvzjRHNisKFSrEggULOHr0KEeOHEl1TCqVoquri5mZWQ7PUDUUhaIULXdq1qyZabXk3EYikfDx40fOnz+f6vOZM2eSkJDA3Llzc7T+/fv3WblyJT179kRPTw8LCwtmz56NlpYW8+bN4/r16zx58oTExESaNWuGpqamsrBR165duXfvXo72z22+fv2Kr68v+vr67Ny5k4CAAM6cOQMkC1tbW1tev36t0lrqiFq5XI6joyNVqlShd+/eTJkyJU1ubMocZVWRSCRERkby+PFjlecICAgICAgICPyb+M8KW6lUSoMGDdTyvIhEIsRicSphm5iYiL29PY0aNcLV1ZURI0YwY8YMZcGk9MiOuE3Z0qdw4cK0atWKUqVKsXTpUq5du0b58uVp27Ytbdu2TTf09mejCMsWi8WULFkSqVRKZGQkQ4YMoWPHjshkMvLnz4+1tTUeHh6cO3dOmVfZunVrAgMD6d69O6VKlaJhw4a4ubkRFBREQkKCWnZ07twZGxsbHB0dU3mMpVKpSm2ecoOU1Y8VfVAXLVqUZSug3MTc3Bxtbe1U9+7NmzdZsmQJ7u7ulC1bVq314uLi2LVrF6NGjaJGjRpUr16d0aNH8/jxY+zs7AgODiYuLo5Dhw7h4OCAsbExN2/e5MWLFzg7O1O1alX09PTYvHkzly5dolatWkyZMoX379/n9qmrhVwu5/Dhw5iYmDBp0iT69etHdHS08sVMtWrVaNeunbJaclbiVh1RC3DkyBGOHz/OggUL8Pb25uPHj6nCkZ8+fcrNmzfVjjRo2bIlIpFICEcWEBAQEBAQ+G35TwrbpKQkTpw4ka38SolEwo0bN3j+/DlAqsqlGhoaeHh4IBKJcHd3z3QddcRtSlG7fPly7t69m8p2U1NTTpw4we7du7l16xYmJiZMmDBB2Vv3Z/L+/XtlP9HLly+zdetWTp8+zb59+/j+/Ttz5sxBIpHw7Nkzbt26lWpuyZIl6dy5M4sXL1ZWwl21ahU1atRg5cqV2NjYoKOjQ5s2bViwYAHh4eFZtrARiUT4+/tz584dFi9eDCS3ebp8+fJPya/NqKVPkSJFVOpzm1sovKOKcFSFZ7Bq1apKsZ0ZCQkJBAUFMWXKFBo2bEipUqXo0aMHQUFBtG7dWlkh+9y5c3h4eCgLVqVEUYXaxsaGBQsW8Pfff1O8eHFu376Ni4sLfn5+GBgYsH79epKSkvLkOmTGrVu3aNu2Le3bt6dixYqEhoayZMkSSpUqpRwjkUi4cuVKqlZAGYlbdUXt169fcXR0xNbWlk6dOikrrgcEBBAVFQUkR0AA2NraqnVuOjo6NGjQQAhHFhAQEBAQEPht+U8K29DQUGJjY7OVX6l4oJTJZLx584apU6cycOBAGjZsCEDp0qWZPn06q1atIiwsLNO1VBG3KUXtkSNHCAkJSTeEWiQS0bVrV27duoWHhwcrV65EX1+flStXkpiYqPZ5qktSUhLr1q3DwMCAhQsXMmXKFCIjI+nVqxc3b95k2bJluLu7U6ZMGaXoycp7VLlyZYYMGcLWrVuVvUtnzJhBUlISU6dOpW7dupQtW5a+ffuybt06njx5ku46JiYmjBo1Cg8PD169eqVs85TXwjarPrVZ9bnNbRR7vH37lsOHD/P333/j6+tLwYIF04xNSkoiLCyMBQsW0Lp1a7S1tbGxsVG+aFi9erWyp/GSJUvo3LkzJUuWzHR/qVRK06ZN0dLSomPHjtja2jJhwgTy58/PzJkzuX37Ns2bN2fQoEE0atQoTdh0XhEfH4+joyOmpqZERUWxd+9eZDIZJiYmacYqQnqLFy+eqbhVV9QCLF68mLt37+Ln56e8VxQV1ydOnAgkX0Nzc/NUYltVxGIxMpnsH3lpICAgICAgICCQ1/wnha1MJqNw4cJYWVmpPVdPT4+6desik8nw8PDg8+fPafITFS1KHBwcsvQoZiZufxS1RYsWRSaTZRpCXahQIVxdXYmKiqJt27aMHDmS+vXr52mrj5CQECwtLRk8eDAtWrTg9u3bTJ8+ncKFCys9g9WqVWP8+PFAcpXeJk2aqOU90tDQwMzMjEmTJnH8+HHi4+M5ceIEQ4YMUYY4V6pUiVq1ajFu3DgOHDjAu3fvlPNnzpyp9KQr2jxVqVIl16+FgqxErYKfKW7FYjGJiYlIpVIcHR0Ri8V06NBBefzJkyf89ddf9OnTh3LlymFmZsbUqVORy+XMnDmTa9eu8fLlS7Zu3cqQIUOoXLmyynt//fo1VRVqhSf97t27LFq0CIAqVaqwbds2goOD+f79O1ZWVvTv35+nT5/m7oX4fxITE1m+fDn6+vqsWrWKWbNmcePGDTp37pzh96UI6ZXJZKn63KYUt9kRta9evWLmzJmMGjUqlaDW0tLC29ubQ4cOcfToUWQyWbZfyEgkEmJiYoiIiMjWfAEBAQEBAQGBX5n/pLCVSqU0b948XU+VKkgkEo4ePcrChQtxc3OjfPnyqY7nz58fPz8/Tp48yZ49e7JcLz1xm56oVYRQq+JpLl++POvXr+f8+fMUKlSIli1b0qNHDx48eJCtc06PJ0+e0LdvX5o0aUJSUhLBwcFs3bo1leA5ePAgUqk0jWcwoyq9qlKoUCFsbGzw9PTk8uXLxMTEsGPHDpo1a8bhw4fp1KkTOjo6NGnShBkzZnD79m2mTZvGqlWrOHToUJ56a1UVtQp+lritXr061atXx8/Pj/v37zNr1iwOHDjAuHHjMDIyolKlSgwdOpSoqCiGDBnCiRMniI+P5/jx40yaNAkzM7Ns5ySfO3cuTRXqOnXqMHr0aDw8PHj58qXyc2tray5dusSqVas4fvw4BgYGzJ49m8+fP+f4GigICgqiXr16jB49Wlmx2cXFhUKFCmU6T1dXl/r16yujDX4UtzExMWqLWoCpU6eiqamZbt/lbt260bx5c+zs7Hjx4kW2793GjRujpaUl5NkKCAgICAgI/Jb854Tt58+fOX36dI7avIjFYmJiYihbtiyOjo7pjmndujXt2rXDyclJpQfylOK2a9eu2NraphK1AGFhYbx+/VqtB1tLS0tCQkLYuHEjISEhGBkZMXXq1DS9eNXh8+fPzJo1C0NDQ2QyGWvWrOHixYtYW1unGpeQkMCECRNo1aoV7du3T3VMIpHw4cMHLly4kG07UqKrq0uPHj1YsWIF9+7d486dOyxZsoRy5cqxcOFCrK2tmTZtGlpaWjx+/BhDQ8MsvenZQV1Rq+BniNtv376hr69PSEgIpUuXpmnTpnTu3JnDhw/TvHlzduzYQUxMDJcvX8bT0xMbG5sshZ6qyGQydHV1MTc3T/X5zJkz0dTUZOrUqak+19TUZNiwYURHRzNmzBg8PDyoVasWu3btytH3dv/+fbp164aNjQ2FCxfm4sWL/PXXX5QrV07lNX4M6VWI2+fPn1O7dm21Re21a9dYvXo1M2fOVLYUSonCu/3gwQPy5ctHkyZNVLY1JQULFqRZs2ZCnq2AgICAgIDAb8l/TtiePXuWhISEHHnsPn78CMAff/yR6YO/r68vT548wdfXV6V18+fPj4ODAwBfvnxh7Nixqfp7SqXSbIVQa2ho0K9fPyIjI3FycsLHxwdDQ0M2bdqkVr6dXC5n586dGBkZMWvWLOzs7IiOjmbIkCFoamqmGR8QEMCDBw9S5QwqqFevXpoqvblJjRo1GDlyJLt27SImJoaLFy/i6uqKjo4O8L8et4MGDWLz5s28ePEix3tmV9QqyG1xK5fLuXnzJgsXLqRDhw7o6Ohw/PhxIFmMLVmyhDt37nDv3j1WrFhBjx490hVWuUFGVah1dXXx8PBgzZo1XLt2Lc28EiVK4O3tzfXr1zExMaFHjx60bNmS0NBQtfb/8OEDbm5u1KpViwsXLrBp0yZCQkKwsLBQ+1zSC+mtXbs2bdu25fXr15QvX55evXqptJZcLsfe3p5atWoxatSoDMeZmZlRqVIl5blkF4lEQnBwMF++fMn2GgICAgICAgICvyL/OWErlUopU6YMderUydb8r1+/4urqSsmSJVOFT6aHgYEB9vb2eHp6qpQneO7cOdq1a4elpSUdOnSgX79+qXJupVIpzZo1y3YIddGiRZk9eza3bt2icePG9O/fnyZNmqgkoK5du0bz5s3p2bMndevW5caNG3h5eVG8ePF0x7948YLZs2djZ2dH7dq10xzX1NTExsbmp3iPNDU1sbCwYMqUKTRu3JiSJUuip6dHt27duHbtGv369aNcuXKYmpoyYcIEjh49qnx5oSo5FbUKcipunz9/zqZNmxg4cCAVK1bE2NiYSZMm8fHjRwYMGAAkewD79OnDyJEjqVGjRrbsVIc3b95w6dKlDKMkRo0aRe3atbG3t8/QG2tgYMDBgwc5evQoL1++pH79+owcOTLTtlqQXARr48aNGBgY4Ovri7OzM5GRkfTt2zfb39GPIb2KnNr169czZcoUvn//rnKf2127dnH69Gn8/f3Jnz9/huO+fv3K69evyZcvH9OmTcuW3ZDsbf78+TMhISHZXkNAQEBAQEBA4FfkPydsZTIZYrE42w+1Ci/XgAEDVMoRdXd3p3Dhwri6umY6LmVO7bFjx9i1a1eqnFtFCHVu5IZWq1aNnTt3EhQUxKdPn7C0tGTQoEE8e/YszdhXr14xYsQI6tevz+vXrzl+/DgHDhxAX18/0z3c3NzInz8/06dPz3CMRCLhwoULvH37NsfnpAqKHOXevXsTHx9P6dKlCQsL48WLF2zevJn69euzY8cO2rZti7a2Ni1atGDOnDlcuHAh08rSuSVqFagjbj9+/MiRI0eYMGECJiYmlC9fnv79+xMaGkrv3r05duwYcXFxnDhxgvDwcIyNjalXr95PDUfNqgp1vnz58PPz4/Tp0+zcuTPTtVq3bk14eDh+fn7s2LEDfX19/Pz8UvUoVnDhwgUaN27MgAEDaNq0qbJieJEiRXJ0PoUKFcLa2hqZTJamUNScOXNUagUEySH9Tk5OdOjQIcvf6/Pnz/Pp0yfGjBnDypUrCQ8Pz5btJiYm6OnpCeHIAgICAgICAr8d/ylh+/r1a65du5ZtcaioXDpy5Ej69+/Px48fs2xJUqJECebMmcPGjRszHJteoagfC0r5+PiQkJCQo9zgH2nRogVXr15l+fLlHD58GAMDAzw9PUlISABg06ZN6Ovrs3PnTgICAggLC6NVq1ZZrnv58mX++usvZs2apQz9TQ9Fld68rNicEkWbpz///FPpSX/y5AllypShT58+/PXXXzx+/Jhbt27h6+tLiRIlmD9/Po0aNaJUqVJ069aNZcuWcefOHaVnMbdFrYKMxO3379+5cOECs2fPpkWLFmhra9OuXTt27tyJhYWFMqw6LCwMHx8f/vjjD4oUKcKOHTs4c+YM/v7+tGrV6qe2fZFKpdSoUYOqVatmOEYikdCxY0cmTZrEp0+fMl0vf/78jB8/nujoaPr06YOTkxOmpqYcPXpUOcbd3Z1GjRrx5csXTp48yY4dOzLdX10UIb2Ojo5pcmozqpb8Iz4+Pjx//pwFCxZkuZ9UKkVXV5c5c+agr6+vUsX19NDQ0EAsFgsFpAQEBAQEBAR+O/5TwjYwMBC5XJ5tceju7o5IJMLDwwNzc3O0tbVV8nwMGTIEMzMz7O3t04iJ9EStgpTidsaMGZQsWTLd3po5QVNTk5EjRxIdHc2IESOYNm2asgWMn58f/fr1Izo6mnHjxmUaKqlAkTNobGzMiBEjMh1bo0YNqlWr9tO8R4oc5UaNGjF16lSKFi2Ki4tLqjEikQgjIyPGjh3L/v37iYuL4+zZszg4OPDq1SvGjx+Pvr4+1apVo3HjxowfPx47O7tcFbUKihUrxtGjR6lZsybNmzenRYsWlCpVikaNGuHl5UWJEiXw9fXl9u3bPHr0iLVr19KnTx/KlCmTap1Pnz4xadIkOnXqhFgsVhY/y67XT11UbVGzYMECnj9/jo+Pj0rrlipViqVLl3Lt2jXKly9P27Zt6dKlC5DcgmrlypVcuXKF5s2b58j+9LC1teXz588EBASkWygqK3H7+PFjPD09cXBwyDL6Af6Xo1yoUCH8/PwICgpi79692bJdLBZz5coV4uLisjVfQEBAQEBAQOBX5D8lbKVSKbVq1aJChQpqzw0NDWXVqlXMnDmTUqVKoampia2trUqeD01NTQICArh48SKbNm1Sfp6ZqFWgELfFixfn3bt3HDp0SG3bVaFkyZIMHz6cRo0aERsbCyQ/nI8aNYpSpUqpvM62bdsICQnB39+ffPnyZTleIpH8NO+RTCZTtnkqUaIEc+fOZfPmzZnmG+bLl4/GjRszffp0Tp8+TVxcHAcPHqRq1aqcO3cOSA5Pb9CgAZMnT0Ymk+W4ME9MTAzbt29n2LBhmJqacvXqVb58+cKZM2fo0aMHZ8+eJS4ujv379zN27FgMDQ0zFdXe3t68fPlSKRgVOaI/44XCw4cPiY6OVknY1qxZE0dHR+bNm8fjx49V3sPExIQxY8agp6fHo0ePgGTx1qNHj3SLmuUUuVyu/D2WSCQZVj/OTNy6uLhQrFixNNWg00ORo6y4hm3atKFt27ZMnDgxW/eaWCxGLpcTGBio9lwBAQEBAQEBgV+V/4ywlcvlSKXSbHlrFV5IIyMjRo8erfxcLBZz8eJFlXJEmzVrRs+ePXFxceHDhw8qiVoFb9++5c2bN5ibmytzbnOT+Ph4HBwcMDU15dmzZ0oB9OHDB8zMzBgzZoxKhXA+ffqEs7MzXbp0wdbWVqW9xWIxkZGRagmZ7JBem6dBgwZRr169dD3pGVGsWDHu37/PqVOncHJy4vHjx6xbt47atWuzYcMGJBIJ2traSCQSvLy8uHr1apZrf/78GalUyuTJk6lXrx56enr06tWLc+fO0alTJw4ePMjTp0+xtLRkx44d5MuXT6WXBpDsGZw/fz6Ojo7UrFkT+F+O6M94oSCTydDQ0KBly5YqjXdzc6N48eJpPOkZER4ejo2NDT169MDCwoJt27YBcOjQIfT19VmxYkWm+dHqosip9fX1pX79+rx58ybT8emJ25CQELZs2YKnp2eGxddSoshRTnnvqltxPSWVKlXC0NBQCEcWEBAQEBAQ+K34zwjbu3fv8vDhw2zl1+7evZvg4GD8/PxSheNKJBK1ckS9vLyIj4/Hzs5OZVELKD0rO3fuTFVQKqckJiayfPly9PX1Wb16NbNmzeLGjRtKEbJ9+3Z8fHzYvHkz+vr6LFy4MNNiWV5eXrx69UrlUFIAGxsbRCJRnnsP02vzpKmpib+/P5cvX2bjxo0qrfNjTm3FihUZOHAgGzdu5NmzZ4SHhzN37lzy58/PzJkzqV+/Pnp6evz555+sXr2a58+fA3Dr1i3mz5+PWCxGW1ubVq1asWHDBoyNjVm3bh1Pnjzhxo0bBAQE0L59e8qXL5+tasmTJ0+mePHiuLm5pfpcIpFw+vTpPG/7IpVKadCgAdra2iqNL168OHPnzmXLli2cPXs2w3ExMTGMHj0ac3Nznj9/zpEjR5RiFmDfvn20bduWUaNGUb9+/VzJ4/6xUNSYMWO4fPlyliG9KcWtjY0NdnZ21KtXj0GDBqm0r0wmo2bNmqlyhA0NDRk3bhxz585Nt+hbVkgkEqGAlICAgICAgMBvxX9G2EqlUjQ1NWnRooVa8xSVS9u3b88ff/yR6lj16tWpXr26yp6PKlWq0Lt3bzZs2IChoaFKolZhu5GREdWqVUtVUCon4jYoKIh69eoxevRoOnToQHR0NC4uLqn68ubPnx9HR0eio6Pp2bMnDg4O1K1bV9kLNSWPHj1i/vz5TJgwgerVq6tsh66uLvXq1ctz71FGbZ6sra35888/cXFx4f3795mukVWhKJFIhImJCY6Ojhw5coT4+HhOnjzJqFGjiIqKYsSIEbRv3x6Afv36MX36dEQiEZ6enkRERPDs2TM2btzIwIED0w2XV7cV0JkzZ9i6dSuenp4UK1Ys1TGJRJLnbV8UVajVjZIYNGgQ9evXT9eT/u3bNwICAjAwMGDr1q0sWLCAiIgI2rRpk2pc6dKlWb9+PefPn6dQoUK0bNmSHj168ODBg2ydy4+iduzYsWqF9CrE7YMHDwgNDWXmzJlpevpmhFQqTfeF3LRp09DS0sqy4np6SCQS7t27x71799SeKyAgICAgICDwK/KfEbYymYxGjRqlecDPigULFvDs2bMMK5eKxWKVPR/nzp1j586dFChQgPLly6skahUh1IoH2x+rJasrbu/fv0+3bt2wsbGhcOHCXLx4kb/++oty5cplOEdPT48VK1Zw9epVSpcuTevWrenQoQNRUVHKMc7OzpQsWZIpU6aoZQ/8z3uUl1V6FWHo6eWienl58ebNG+bOnZvhfHWrH8fHx3Po0CG2bdvG9u3bCQ0NRSQSUalSJSBZeCUkJBAYGMj27dvZtm0bwcHB6batSYmq4jYpKQl7e3vq16/PwIED0xw3MTGhdOnSefpCISwsjNevX6sdJaGhoUFAQABXrlxh/fr1ys+PHTum7DX8559/Eh0djYODQ6ZFzSwtLQkJCWHjxo2EhIRgZGTE1KlT+fDhg8r2pCdqASpXroyBgYHKv/+VKlWiQIECFCxYEDc3N5XC+xU5yum9HChZsiRz5sxhw4YNXLhwQeXzAWjevDmampqC11ZAQEBAQEDgt+E/IWwTExMJDAxU+wH75cuXeHp6Ym9vj4GBQbpjJBKJSjmiipxac3Nzli1bxoEDBwgKCsrShvRCqLMjbj98+ICbmxu1atXiwoULbNq0iZCQECwsLLKcq8DMzIyTJ0+yc+dOIiIiqFOnDpMmTeLo0aNs376defPmqf3iAJKvYUxMDBEREWrPVYWs2jxVrlyZyZMn4+vry927d9McV0XUJiQkcPLkSaZOnYqlpaWyPZCiIvCePXt4/fo1+/btA5JF2v3791mxYgVVq1Zl+fLlyvY9bdu2xc/Pj4iIiHRbuqgibtetW8fVq1dZuHBhup5BRduXvBQ2iirUVlZWas9t0qQJvXv3xtXVlatXr9K+fXvatGlD2bJllS2qSpcurdJaGhoa9OvXj8jISJycnPDx8cHQ0JBNmzZl+TIlI1GrQJ3iZ3PnzuXTp08cOnRIpT63kHWO8tChQ6lbt65aeeKQ3IbM0tJSyLMVEBAQEBAQ+G34Twjby5cv8+bNG7VDIhctWkTRokUzrVzasmVLRCJRpg+IPxaKGjx4MI0bN8bBwYHv379naoNMJkNTUzNNyxJVxW1SUhIbNmzAwMAAX19fnJ2diYyMpG/fvtlqTyMSiejevTu3bt1i2rRpLF26lI4dO1K1alX69Omj9nqQXKW3UKFCeSayTpw4AZDp9+/s7Iyenh5OTk6pPs9I1MrlciIiIvD19aVNmzbo6OjQsmVLli9fTrVq1VixYgX3798nOjqapUuX0qVLlzR5plWrVmXYsGFs27aNV69eceXKFaZPn863b99wdXXF1NSUcuXK0a9fP9avX8/Tp0+VczMTt+/evcPV1ZU+ffrQuHHjDM9Z0fZFUQU7t5HJZDRr1oyCBQtma76bmxuxsbE0aNCAGzdusGvXLgIDA6lbt2621itatCizZ8/m1q1bNG7cmP79+9OkSZMMvd5ZiVpQPaT37t27+Pn5MXnyZMRisUp9biHrHGVFxfULFy6wefPmTG34EbFYzIkTJ3K1uJaAgICAgICAwD/Ff0LYymQyihUrRsOGDdWad/ToUebMmUOJEiUyHKOrq0v9+vUzFGXpVT8WiUT4+/sTHh7O6tWrM7VBKpXSqFGjdKunZiVuL1y4gJWVFQMHDqRp06bcunULDw8PihQposLZZ46WlhZTp05lxowZfP/+nQcPHmBpacnp06fVXqtQoUI0a9Ysz7xHMpksyzZPhQsXxsvLi3379imF8I+i9tmzZ6xbt45+/fpRrlw5TE1NmTJlCt+/f2f69OlcvXqVV69esW3bNoYNG5aq2E9WaGhoUK9ePZydnZFKpcTHxyOVShk4cCC3bt1i8ODBVKxYkdq1a2Nvb6/8rtMTt3PmzOH9+/fMmzcv0z0lEglyuVylyAF1+fLlC6dPn85WsbbExERWrVqlfGmkoaHBwYMH6datW670Cq5WrRo7d+4kKCiIT58+YWlpycCBA1MVYVJF1AK0aNFCpZBeJycnypQpw6RJk4Cs+9zC/3KUs7qGzZs3p3v37ri4uPDp06esTl+JRCIhPj6ea9euqTxHQEBAQEBAQOBX5T8hbKVSKS1btsw0Fy8lipA+Q0NDBg8enOX4jHJEM2vpY2FhwaBBg5g6dSrx8fHprqsIoc7M05ieuH327BkDBgygUaNGyhDZHTt2qCW0VOHt27f4+PjQt29fQkJCyJcvH82aNaNXr17KfqKqIhaLCQ4OzvUqvT/mKGdGr169aNKkCQ4ODvj7+zN+/Hi6dOnCly9fMDY2pmLFigwZMoRbt24xaNCgVALU2dkZc3NzlQsCZYWWlhZisZj58+dz5coVXr16xfbt22nSpAn79++nY8eO6Ojo0LZtW5o3b06VKlWQSCTs2rULPz8/XFxclPm8GZGXbV/OnDnDly9f1I6SCA4OpkGDBowYMYLWrVtz8+ZNypcvr1K/V3Vp0aKFMqz5yJEjGBgY4OnpyefPn1UStZAc0tuwYcNMr6FMJmPfvn14eXlRuHBh5edZiVt1cpS9vb2JjY3lr7/+UuHMk7G0tKRo0aJCOLKAgICAgIDAb8FvL2w/fvxISEiIWg/Yhw8fBpK9LJqamlmOF4vFaXJEVelTO3fuXBISEpg5c2a66165coU3b95k+WCrELdt27alS5cuVK9enaNHj7Jy5UquXLmSJow5t5g9ezYfPnxg3rx5WFlZcf78edatW8epU6cwNDRk+vTpfPz4UaW1FFV6z507l6s2KnKUVfn+v3//zuDBg7l+/TqOjo6IRCL27t3LwYMHadKkCdu3b1eGDM+bNw+xWIyWllau2psRpUqVomfPnqxatUoZ4rxw4UL09PRYtmwZERERfPjwgZ49e1KoUCE6dOiQbn7uj+RVnq1MJqNMmTKYmJioNP7hw4f07NmT5s2bU6BAAc6dO8eGDRuoWbMm3t7e7N+/P08EmKamJiNHjiQ6OpoRI0bg7u5O2bJlWbBgAQsXLsxU1CpQhBanF9L7/ft3HBwcaNKkCX/++Wea45mJW0WOcqNGjbK0oWrVqkyaNEnltlWQ/HejRYsWQgEpAQEBAQEBgd+C317YBgcH8+3bN5VDIt+/f8+iRYsAqFevnkpzGjdujJaWlvLBWxVRC1CuXDmmTp3K4sWLuXXrVprjUqlUpRBquVzOgQMHCA0NJSkpiW/fvrFw4UKGDx+ukjDPDtHR0QQEBODq6krFihWB5HDagQMHEhUVhYODA/PmzcPIyIitW7dmKbJMTU3zpEpvZm2e5HI5t2/fZtGiRXTs2BFdXV2GDRumPJf58+cTHR3N/fv3WbVqFT179qRUqVK5al92EIlE1KxZk9GjR7N7925ev37NhQsX6NWrF3K5nPfv31OvXj0qV67M4MGD2bJlCy9fvkx3rbxq+5JZFeqUfPz4kWnTpmFkZMSZM2dYv349586dSyXmevbsSdOmTXF0dMwyJz27lCxZkgULFjBgwADevXsHJPfCVaWgmUQiIS4uLt2Q3hUrVnDz5k0CAgIyvBYZiVuZTEbz5s1VzlF2cXGhZMmSKo1NafuZM2fUCmEWEBAQEBAQEPgV+e2FrVQqpUKFChgaGqo0fu7cuVn2M/2RQoUKYW1tjVQqVVnUKnBwcKBq1ao4OjqmEX8ymYwWLVpkGkIdFhaGjY0N3bt3p06dOoSHh9O5c2cGDhyYoz63WTFx4kTKly/PxIkT0xwrVqwYnp6e3Lp1CwsLC/r06YO1tTVXrlzJcD0NDQ1sbW1z3XukyFFWVGt++fIlmzdvZvDgwVSuXJlatWoxceJE3r17R7NmzQAYOXIkRYoU4fHjx9SsWTNX8jrzEk1NTerVq0doaChWVlZYWlpSuHBh5TXv27cvZcuWpW7dujg5OXHs2DGlkFHkiObmCwVFFerMvORyuZwtW7ZgaGiIl5cXEyZMICoqigEDBqQJ5xaJRAQEBHDz5k1WrFiRa3b+aM+kSZP466+/WLRoEYcPH+bJkyeYmZkxZsyYTAs8NWrUiKJFi6a5d+Pi4pg2bRpDhgyhfv36me7/o7h98uQJp0+fVivSpEiRIowfPx5ILpinCmKxmK9fv2YrN15AQEBAQEBA4Ffitxe2inYrqoiTe/fu4evrm27fz6yQSCScOnWKVq1aqSxqAQoWLIiPjw/Hjx/nyJEjys8/fvzI2bNnM/Q0x8TEMHr0aOrVq8fz5885cuQIhw4dok6dOjnqc6sKx48f5+DBg3h7e2cailu9enX27NmDTCbj7du3WFhYMGTIEF68eJHueIlEwuXLl4mLi8sVOxU5ytWqVWPixImYmppStmxZ+vXrx5UrV+jZsydHjhwhPj6ebt26cfjwYZycnFi2bBlTp05l6dKl3Lx5M1dsyWuWL1/OrVu3WLJkCVKpFDMzMw4fPszq1at5/vw5mzZtwtzcnK1bt9KmTRu0tbVp2bIlS5YsoXbt2rkqbAMDA5HL5RmKskuXLtG0aVP69u2LpaUlN2/eZM6cOZn+vtSrV48hQ4bg7u6e61Wc0ysU1bZtWyIiIvDx8WHz5s3o6+uzcOFCvn37lmZ+/vz5ad68eZprOGPGDL59+8acOXNUsiOluG3WrBlfvnxRu/hWmzZtgOScW1WqHdeqVYvy5csL4cgCAgICAgIC/3p+a2H74sULIiIiVH44dHJyQk9PL1vCVk9Pj4SEBKpVq6ayqFXQqVMnbG1tcXR05OvXr8D/Qqh/FAffvn0jICAAAwMDtm7dyoIFC4iIiFA+0EL2+tyqyrdv33B0dKRZs2Z0795dpTm2trZcu3aNxYsXs3//fgwMDPDy8iIhISHVOLFYjFwuJzAwMNv2JSYmcvHiRebMmUPDhg15+/YtmzZtYtu2bdSrV49Nmzbx/PlzwsPDWbBgAW3atGHt2rVpWvrY29tTtWpVHBwcVMpV/SeJjY1l2rRpDB06FHNz8zStgB49ekTfvn1Zt24dT5484ebNm3h7eys96xEREezZs4du3bqxYsWKdHv5qoNUKsXIyEgZoq7g+fPnDB48mIYNG/L+/XsCAwPZvXs31atXV2ndOXPm8P37d2bMmJEj+1KSWfXjAgUK4OjoSHR0ND179sTBwYG6dety/PjxNOv8GNJ748YNli5diru7O2XKlFHZHoW4ffnyJfny5aNs2bJqnY/iBd6dO3eyrLiuGK9OL14BAQEBAQEBgV8W+W/Mpk2b5ID8xYsXWY6VyWRyQL5lyxb5lStX5ID8ypUrKu0TEhIiL1q0qDx//vzyiRMnZsvWiIgIuYaGhtzHx0cul8vlEyZMkFeoUEGelJSkHHP06FG5kZGRXENDQz5y5Ej5q1evMl3z69ev8q5du8rz588vP3DggMq2ZHb+AQEBcpFIJL927ZrK66UkNjZWPn78eLmmpqa8Ro0a8n379qU6RwMDA/nIkSNVXi8pKUkeHR0tX7Zsmbxr167ykiVLygF50aJF5YaGhvKCBQvKw8LCUu2RkoULF8oBuZOTU5ox+/fvlwNqXbusUPfeUgU7Ozt58eLF09zn7969kzdu3FhevHhx+YULF9Kd+/XrV/mSJUvkgNzU1FSuqakpB+TVqlWTDx8+XL5jxw7569evVbYlKSlJXqVKFfm4ceOUn3358kU+b948edGiReW6urryZcuWyb99+5atc/X29pZramrKIyIi0j2uzvVNSkqST5w4UQ7IFy1alOX4a9euyZs1ayYH5O3bt5dHRkYqj12/fl0OyI8fPy5PSkqSSyQSec2aNeVfvnxR/eRSULt2bXnBggXlpqam8piYGJXnKc6/ffv2cl1dXXlcXFyWczZu3CgH5C9fvsyWrQK/F4DwI/wIP8KP8CP8/FI/Kv8blof/Pv7jDBw4UG5qaprluG/fvsnr1Kkjb9KkiTwpKUmth+OQkBB5sWLF5NbW1vIePXrIGzRokG17UwoUExMT+aBBg+RyuVweGRkpb9eunRyQt2jRQh4aGqrymtkRtxmdf0xMjLxkyZLyESNGqH5SGXDjxg15q1at5IBcLBbLr1+/LpfLk69B9erVM537+vVr+fbt2+XDhw+XV61aVQ7INTU15Y0bN5ZPnz5dfubMGfnXr1/lzZs3l3fs2DHDdTITtXK5PFcEyo/ktrANDw9P9ULkR1QVt0WLFpXPnTtX/vbtW/n+/fvl48aNkxsZGckBuUgkktevX1/u4uIil8lk8s+fP2doT3R0tBySXwYkJSXJ9+7dK69evbo8X758cnt7e5WEVmYkJCTI9fX15ba2tul+Z6peX3VFbcp5O3fulFepUkWeP39+uZOTk/zNmzfypKQkefny5eVOTk45fiESExMjF4lE8jlz5sj19PTUEreK8z927Ji8aNGicgcHhyznPH/+XA7JL/UEBP7phxfhR/gRfoQf4Uf4+fFHVUT//w/Zb4dcLqdixYr06tWLBQsWZDp26dKljB07lkuXLlG/fn2uXr1K/fr1uXLlSqaVkX8sFLVjxw6GDRtGTEwMurq6atscGxuLvr4+bdq0YcuWLaxYsYLIyEgWLlxIxYoV8fHxoWvXrmoXM/r27Ru9evXi4MGD7N69mw4dOmQ6PqPzHzNmDFu2bCE6OprSpUurfX4/IpfLOXz4MI6Ojty/f5/Ro0fTsGFDBgwYwN27d5Uhql++fOHs2bNIpVKkUinXrl1DLpdjZGSERCJBLBbTokULihcvrlz7w4cP6OjosGDBAsaNG5dm70WLFqUJP06PGzduULduXTw9PZk0aVKOz1nVe0sV5HK5MtT4+vXrFChQIN1x79+/p3Xr1ly/fh2pVJpule327dvz6dOnNGHgjx8/5sSJE0ilUmQyGa9evVIWS5NIJEgkEkxNTZUFn5YvX87YsWM5c+YMU6dO5cSJE/zxxx/4+flRq1atHJ2vgkOHDtGhQwf27dtHp06dUh1T5frKMwk/VpXPnz+zYMECPD09KVq0KHPmzCE4OJjw8HA+fPhAjRo1OHbsWLYKj+3YsYM///yTJ0+e8ObNG2xsbChbtiwnTpzIsip3yvP/+++/cXd3JyIiAiMjo0znmZiYYGFhwdq1a9W2V+D3QiQSUcjM7p82gy+hSwB+CVvg17JHsCV9FLZ8/vZrPNZq5U/++/8rXRvBltT8SrbAr2XPr2aLqnL1t82xvX37Ns+ePcsyv1ZRuXTQoEFZVi5NSXrVjyUSCXK5nKCgoGzZrKury8yZM9m6dSsAU6ZMYcWKFcyYMYObN2/SrVu3bD0o50bObUREBCtWrGDatGm5Imoh+QGqffv2XL9+nXnz5rF+/Xrs7e0RiUSsXr0aLy8vWrVqhba2NmKxmL/++gsjIyPWrl3L48ePuXXrFgsXLqRjx46pRC3A6dOnM2zzpKqoheScx9GjRzNr1qwMW+b8Uxw4cIATJ07g6+uboagF0uTcXrx4Mc0YiUTC2bNn07R9qVSpEoMGDWLz5s08f/6csLAwZs+ejaamJtOnT8fc3JyyZcvSu3dv1qxZw65du9DT06NJkyY8evSIQ4cOcfTo0VwTtQDt2rWjVatWTJw4MU2edlbkhqgF0NLSYurUqURGRtKqVSuGDx9OcHAwYWFh3L9/Hz8/v2xX05bJZNSqVYsKFSpk2uc2KxwcHKhUqRITJkzIcqxEIkEmk/3y+eQCAgICAgICAhnx2wpbqVRKgQIFsLa2znTczJkzSUhIYO7cuSqvnVFLn0qVKmFoaJijQizGxsbKB+I2bdoQGRmJm5tbptWHVSEn4lYul2Nvb0/NmjWzLQQyo2DBgvTo0YMZM2ZQsmRJ5HI5np6euLu7o6mpyZw5cwgLC+PFixds3ryZQYMGpSlM9CNSqZSKFSumafOkjqhVMHPmTPLnz4+bm1uOzjM3SUhIYMKECfzxxx+0a9cuy/FZiVuJRJJl2xcNDQ1MTU2ZOHEiR48eJT4+nqCgIIYPH050dDTDhg3jxIkTPH/+nEaNGjFnzhyaNGmS6+2SRCIRfn5+PHjwgICAAJXn5ZaoTUnFihXZuHEjISEhyr8Denp6ahWP+9FGqVSa6oVMdsVtoUKFWLBgAUePHk1VcT09xGIxjx8/JioqKlt2CwgICAgICAj80/y2wlYmk9G4cWOKFCmS4ZibN2+yZMkS3N3dVa4+mlWfWrFYnK3WGQ8fPqRnz57Y2toqhUCHDh2oUKGC2mtlRHbF7b59+wgKCsLPzy9Tz6A6vHnzhr179zJmzBgMDAyoWrUqkyZNonTp0tStWxdNTU2+fv1KwYIF6dixI6ampmoJJJlMhlgsTjUnO6IWQEdHBw8PD9auXZtpL96fib+/Pw8fPlTLM5iZuM1O25eCBQvSokULWrRowefPn5Wft27dmpcvX9KzZ090dXWxsrLC3d2d4OBgZdXvnFK7dm3s7OyYNWtWhu2jUpIXojYlVlZWNGzYEJFIxJs3bzA0NGT69Ol8/PhRrXXu3r3LgwcP0lRDz6647dy5MzY2NqkqrqdH8+bNyZ8/v9D2R0BAQEBAQOBfy28pbL99+8bJkyczDUOWy+U4ODhQtWpV7O3tVVo3K1ELyZ6ve/fuce/ePZXW/PjxI9OmTcPIyIgzZ87g6elJYmIijRo1YtKkSWlCQ3OKuuL2y5cvTJw4kTZt2tC2bdts7/v161eCg4Nxd3enUaNG6Orq0rVrV/7++29sbW3ZtWsXr1+/5sKFCyxatIjExETmzJnD1atXMTY2xsXFhffv36u0V3ptnrIrahWMHDmS2rVrY29v/4+Haz5//pzZs2czduxYtUN8MxK3IpEIsVisVrTBnTt36NSpE61atUJXV5cxY8ZQrFgxDhw4wJ07d7h37x7Lly+nUqVKLF26lObNm6Ojo0O7du3w9/fnxo0bObqWM2bMoGDBgkyZMiXTcXktagEuX77MunXraNGiBaVKlcLe3p558+ZhZGTE1q1bVT5PmUyGpqYmLVq0SHMsO+JWJBLh7+/PnTt3WLx4cYbjihQpQuPGjYW2PwICAgICAgL/Wn5LYXvhwgXev3+fxuuRkkOHDiGVSvH19aVgwYJZrqmKqAVo0aIFmpqaWT4gyuVyNm/ejKGhIV5eXkyYMIGoqCiKFClCgQIFWLFiBc+fP8fHxydL29RFHXHr5+fH48eP8fX1VWsPuVzO9evX8fPzo127dujo6NC8eXOWLl1K5cqVWb58Offu3ePOnTssW7aMbt26oa2tDYClpSVFihRBQ0OD27dvM2XKFBYuXIi+vj5//fUXSUlJme6t8DrZ2toCORe1APny5SMgIICzZ8+yfft2tefnJlOmTKFgwYJMnz49W/MzErdisZiwsLAsc4nfvXuHs7MztWvXJjQ0lO3bt3Pq1Clu3rxJixYtyJ8/PwDVqlVj+PDh7Nixg5iYGC5fvszUqVNJSEjAxcWFOnXqUKFCBQYMGMCGDRt49uyZWuehra3NrFmz+Ouvv7h8+XK6Y36GqFW8JDM2NsbR0ZEnT54wZMgQbt26hYWFBX369MHa2jpDG1MilUpp1KgRxYoVS/d4dsStiYkJo0aNYubMmbx69SrDcWKxmKCgIL5//57lmgICAgICAgICvxq/pbCVyWSULFkyw2JQX79+ZcKECYjF4iwrBIPqohagRIkSNGzYMNOQvkuXLtGkSRP69euHpaUlN2/eZM6cORQtWhSpVErjxo0xNTXFwcGBefPm8fjx46xPWk1UEbcxMTHMmTOHsWPHZllVFeDZs2ds2LCB/v37U758eUxMTHB1dSUhIQF3d3cuX75MTEwMO3bsYPjw4VSrVi3ddQoUKECLFi2QSqUULlyY6dOnc/v2bVq2bMmQIUNo2LAhISEhGdohk8kwNTWlTJkyuSJqFdja2tKpUyecnZ1z3ZOuKpcuXWLdunXMmjVL+SIgO6QnbhUvgn6sjKwgKSmJtWvXoq+vz+LFi5k6dSq3bt2iZ8+efPr0ibNnz2YYJaGhoUH9+vVxcXFBJpMRFxfH33//Tb9+/YiIiGDgwIHKYkkODg4cPnxYJQ/98OHDqVOnTrqe9J8hagG2b9/O2bNn8ff3p2XLluTPnx+pVEr16tXZs2cPMpmMt2/f0rBhQ4YMGZJh6HRiYiKBgYFZFrzLjridOXMmGhoauLu7ZzhGIpHw7t07Ll26lOV6AgICAgICAgK/Gr+lsJVKpdjY2KCpqZnu8YULF6pcuVQdUatAIpFw4sQJEhMTU33+/PlzBg8eTMOGDfnw4QOBgYHs3r1b2dZGEUKtEBhTp06lWLFiuLi4qHLaapOVuF28eDFaWlpMmzYt3fnv37/n0KFD2NvbY2xsTIUKFRg4cCA3btygf//+/P3338THxyOTyZg8eTL169dXtoXJCrFYzJkzZ5QCsnLlymzdupXTp08jl8tp0qQJffv25cmTJ6nmpSy+k5uiVoGPjw8vX77E29s7x2upi6KIl4mJCcOHD8/xej+K28ePH1OnTp10ow3Onj1Lw4YNGTp0KGKxmMjISKZNm0bhwoUBCA4O5tu3b5lGSaSkcOHCSCQSvLy8uHbtGq9evWLr1q1YWVmxd+9e2rdvj46ODs2aNcPDw4Nz586l60nMly8f/v7+hISEsG3bNuXnP0vUfvr0iUmTJtG5c2dsbW0pWrQoVlZWqa6hra0t165dY8mSJezfvx8DAwO8vLzSVHS+cuUKb968yVLYgvritlSpUsycOZNVq1YRGhqa7pj69etTokQJIRxZQEBAQEBA4F/Jbyds3717x4ULFzJ8OHz58iUeHh6MHj2aOnXqZLpWeHi42qIWkkVZfHw8165dA5Ir2M6fPx8DAwMOHjzIsmXLuHr1Ki1btkw17+LFi7x//15pe/HixfH09GTLli2cPXtWpb3VJTNxe+jQIWbPnq30DH7//p2QkBA8PDywtrZGR0dH2U/UysqKbdu28erVK65evYqXlxcSiSTb1ZwVVXrPnDmT6vOmTZty6dIl1qxZg0wmw9DQEA8PD6UAVrR5+vjxY66LWoCaNWvi6OjI/PnzefToUa6sqSpbt27l3Llz+Pv7ky9fvlxZ80dxW6dOnVRtXx49ekTv3r1p2rQpAGfOnGHz5s1UqlQp1ToymYwKFSqo5NlPj9KlS9OrVy9Wr17NgwcPiIyMJCAgAF1dXRYsWEDjxo3R1dWlc+fOLFmyhMjISKWNtra2dOnSBWdnZ2URK39//zwXtQBeXl68evUqVcpAeiG9+fLlY/To0URHRzN48GCmTJmCsbEx+/fvV56HVCqlWLFiWFhYqLS3uuJ29OjRGBkZZZgnni9fPmxsbIQCUgICAgICAgL/Sn47YXvy5EkSExMzFLZubm7kz5+fmTNnZrmWnZ2d2qIWoFGjRhQtWpS///6bffv2Ubt2baZOncrQoUOJjo5m1KhR6QoTqVSaJoRa0V/X3t4+y9zS7PKjuD158iSQLOKsra1ZvHgxnTt3RldXlyZNmuDr60vp0qUJCAggKiqKBw8esHr1av78889c63Fbu3ZtypUrl673SENDgyFDhhAdHY2dnR2zZ8+mVq1a7Nixg7///htNTU2WL1+e66JWgZubGyVKlGDy5Mm5um5mfPz4EWdnZ7p27YqNjU2urp1S3B44cIDHjx8TFhbGzJkzMTIyIigoiLVr13Lx4kWaNGmS7hpSqTRNFersIhKJMDAwYMyYMezdu5fY2FjOnTuHk5MT8fHxODo6YmRkRJUqVRg6dChbt27FxcWFV69esX79egA2bdqU56L20aNHzJ8/nwkTJlCjRg3l55mF9Oro6BAQEEB4eDg1atSgc+fOtGrVihs3biCTyZShzKryo7iNj4/PcGz+/Pnx8/MjODiYXbt2pTtGIpFw7tw5lQu1CQgICAgICAj8Kvx2wlYmk1G1alVleG9Krl69ytq1a/Hw8EBHRyfDNcLDwwEwNDRUW9RC8gNkvXr18PHxoUuXLujr6xMeHo6/v3+meZEymSxNCLWGhgYBAQFcuXJF+dCeFyjEbatWrXBycgLg9evXGBsbM2HCBOLj45k0aRLnzp3j9evX7NmzhzFjxqCvr5/rwhH+V6U3M+9R8eLF8fLy4saNG5iZmfHnn38yZcoUEhMT80zUQrIQ9PT0ZNu2bWk8ynnF/Pnzef36dZ6FQCvErYmJCQDW1tbMnTuX8ePHExUVxeDBgzMMI0+vCnVuki9fPho1aoS7uzunTp0iLi6Ow4cP061bNy5cuECfPn2wtLSkRIkSrF69GgBHR8c8FbUAzs7OlCxZMk1V5gYNGlCiRIlM793atWtz7NgxDh48yIMHDzA1NSU4OBgrKyu17UgpbkeNGpXp2D/++IMOHTrg5OSUqkWTArFYzPfv3wkODlbbDgEBAQEBAQGBf5LfTtgq8it/FDSK/MTatWszcuTIDOefO3cOOzs7IDkXV11RGxsby9ixYzl9+jRv3rxh165dHD16NMu2LO/eveP8+fPpioMmTZrQq1cvXF1deffunVr2ZMWnT584fvw4Tk5OWFhYcPjwYWWYoqmpKYcPHyYuLo5Tp04xdepUGjVqlGthsFkhkUgIDQ3NtJIrgL6+Pvv372fUqFHKkOT4+HhiYmLyzLYBAwbQoEGDPPWkK3j48CHe3t5MmDAh3Rc2uUVUVJTyvz9+/MiWLVuYN28exYsXz3TeiRMnAFTOr80pRYsWpW3btvj5+XH9+nWePXvG+vXr0dHRUd67ixYtwtbWFk9PTy5fvpwm3z2nnD59mu3bt+Pp6ZmmgnG+fPlo2bJllrmqIpGI9u3bc/36dQYPHkxSUhLz5s1jyZIlalcmVojb2NhYgEw9twsWLOD58+csWLAgzbGaNWtSpUoVIc9WQEBAQEBA4F/HbyVsnzx5wu3bt9N9wN6xYwdnzpzJND9RUSjK0NAQQFkYRxW+ffvGokWL0NfXZ+PGjUycOBG5XE7RokVV8hoqQqgzEgfz58/n3bt3zJ07V2Wb0iMxMZFLly7h6emJjY0N2tratG7dmi1btlC3bl06deqkvD4hISEkJiaqLe5zC0W7HoVwyoxFixaxfPlyAJycnNizZw/6+vosWLCAr1+/5rptCk/61atXWbduXa6vnxJnZ2e0tbVxdXXNk/VfvnzJsGHDsLCw4MOHD/Tt21cZ7q1oBZQZUqkUExMTypQpkyf2ZUXZsmUJDw8nMjKSNm3aANCtWze0tLSYM2cOFhYW6Onp0aNHD1auXKlyj+mMSExMxN7engYNGjBgwIB0x6gT0luwYEFKlChBuXLl6NatG+PGjcPMzEztXFdjY2NWrFgBwKhRozLMudXX18fe3h5PT880xdey089YQEBAQEBAQOBX4LcStjKZDJFIpBREChSVSzt16pShcExZ/XjhwoVq7SuVSjEzM8Pe3p7u3bsTHR2Nl5cX5cuXV/nhVBFCnTJXLyWVK1dm8uTJ+Pn5cefOHbXsu3fvHitWrKB79+6ULl2ahg0bMnfuXIoUKaIM5X369CkzZ87k2LFjyof1Zs2aZdnnNi8pX748xsbGWV5DRfVjKysrtLW1mTdvHtHR0fTv3x9nZ2fq1KnDoUOH0i2YkxMaN25Mnz598sSTriA4OJgdO3Ywb968DHubZpeEhAS8vb3R19dnz549LFq0iNDQUMaOHUtiYiJVqlRJ1ec2PeRyOTKZLM/CkLPix+rHHh4eAISGhrJ//37i4uIIDg7Gzs6Op0+fMmbMGGrUqEGNGjUYOXIku3btIi4uTq09161bx7Vr11i4cGGG4dnqhvRKpVL++OMP1qxZw+XLl9HW1kYikdC5c2e1ft8Vfz9iY2MzLSg1depUihYtmm7FdYlEws2bN9XuKywgICAgICAg8E/yWwlbqVRKvXr10NXVTfW5t7c3L1++TFW5NCU/tvRR1VN7584dOnXqRKtWrdDV1eXKlSusXLkSPT09tT0fqhTfmTRpEmXKlFHmwGZEXFwcu3btYuTIkVSvXp0aNWpgZ2fHs2fPGDduHMHBwcTGxnLw4EFleLZIJGLSpEno6uoyePBgAObOnZtpn9ufgeIaZiRKU7b0EYlEyhxlXV1dFi9eTGhoKJUrV6ZDhw60adOGW7du5ap98+fP58OHD8yePTtX14X/eQYbNmxIv379cm1duVzOwYMHqVOnDq6urgwcOFBZiCtfvnzKHNEOHTqk6nObHrdv3+bp06c/LQw5Jem19FEIzcjISP766y8KFCiAtbU1Hh4ehISEEBsby759+2jTpg0nT56kR48elCpVCgsLC6ZMmUJQUFCaNjwpefv2LVOmTKFv376Z5sPq6+tTuXJllX7/f8xRrlevHsHBwWzbto2rV69ibGyMi4uLWgWdVqxYkWm15BIlSjB37lw2b96cpie04sWgUB1ZQEBAQEBA4N/EbyNsFZ6jHx+wHz9+zPz583F0dKRmzZpp5mWnT+27d+9wdnamdu3ahIaGsn37dk6dOoW5uXmqcWKxmLCwMF6+fJnpeooQ6qy8XoULF8bb25v9+/eneuj88uULgYGBuLq6YmFhQalSpejRowenTp2ibdu27Nu3j9jYWEJCQpg5cybW1tYUKFAg1dqnTp1i165dzJ8/Xynss+pz+zNQ9FeNjo5OcyylqHVzc+PChQtpvn8TExOkUin79u0jOjoaExMTHBwcMs1BVIeKFSvi4uKCv79/ujbmhLVr1xIaGkpAQIDK/X+z4ubNm7Ru3ZqOHTtStWpVwsLCWLRoUaqXQYoc0eDg4FStgNITtzKZjAIFCtCsWbNcsU9VsupT27ZtW6ZMmcLbt29TfV6iRAk6derE4sWLiYyM5OHDh6xevRp9fX1Wr16dKjzfx8eHsLCwVDnUs2fP5sOHD8ybNy9T+0QiERKJRCVxqAi1TxlpIhKJ+PPPP7l9+zZTpkxh4cKF6Ovr89dff6mU012jRo0sWwENGjSIevXqpckTL1WqFObm5oKwFRAQEBAQEPhX8dsI24iICF69epVGHE6ePJnixYvj5uaWZo66ojYpKYm1a9eir6/P4sWLcXd35/bt2/Ts2TNdT6tCZAUGBma6riKEWpU2Lj179qRp06aMGjWK+fPn88cff6Cjo4OtrS1r1qxBX1+fNWvW8PDhQ27fvs3ixYvp1KkTJUqUyHBNhWfQ0tKSPn36pDr2T4vb5s2bky9fvjSer5Si1svLi+Dg4AzbPIlEIjp16sTNmzeZM2eO8jotW7ZM7SI96eHk5ES5cuWy9KSrw9u3b3Fzc6Nfv340atQox+vFxcUxfvx4TE1NuXv3Lvv37+fvv//G2Ng43fESiYTz588DZCpupVIpjRs3pkiRIjm2UVWyErUA48aN4+PHj1l60itXrsyQIUPYsmULL1684Nq1a3h4eCCXy3F3d8fMzIxy5crRp08f5s2bR0BAAC4uLlSsWDFLO8ViMTdu3MgypFcmk2FqappujnLhwoWZPn06kZGR2NjYMGTIEBo2bJjGy5oeWfW51dTUxN/fn8uXL7Nx48ZUxxSiPLfD9wUEBAQEBAQE8orfRthKpVIKFSqUqs/mmTNn2Lp1a7qVS9UVtWfPnqVhw4YMHToUsVhMZGQk7u7uaGlpZTinXLlyGBsbZxmOKJVKMTc3p1SpUhmOefz4MWvXrqVPnz5cv36du3fv4u7ujkgkwsPDg9DQUF68eMGWLVsYPHgwlStXznTPlKxZs4awsLAMPYP/pLgtWrQoVlZWqbxHP4pakUiEVCqlWrVqGeYoQ3KRnsmTJxMVFUXHjh0ZM2YM9erVIygoKEc2amlp4e3tzYEDB/j7779ztJaCWbNm8fHjxyw9g1nx/ft3li5dir6+PuvWrcPT05MbN27QsWPHTMPeJRIJ379/59SpU6n63KYUt9++fePkyZM/NQxZFVELoKenh6urq7LXsipoaGhgZmaGk5MTx48fJz4+nhMnTij7T7u6uvLt2zc2btzI2LFj2b9/fxqPcEpUCemVy+XKNITMqFSpElu2bOH06dPI5XKaNGlC37590xR/+pGsxK21tTV//vlnmlBnsVjM8+fPuXHjRqbrCwgICAgICAj8Kvw2wlYmk2FtbU2hQoWAZO+qvb099evXZ+DAganGqiNqHz16RO/evWnatCmQLJY3b95MpUqVVLIrK89HRsV33r59y759+xg7diyGhoZUrlyZYcOGcefOHUaPHk3btm0pWrQomzdvxsnJibp162YrXPXNmze4ubkxYMAALC0tMxz3T4pbiURCYGAg379/T1fUAumGoWdEuXLlWLt2LRcvXqRo0aLY2NjQrVu3HFXL7dGjB9bW1jg6OvLt27dsrwPJ+aEBAQFMmTKFChUqZHudEydOYG5uztixY+ncuTNRUVFMmjSJggULZjm3Zs2aVK5cWSnK0hO3Fy9e5P379z+tcJSqolbBxIkTKV++PBMnTszWfoUKFcLGxoa5c+cqPb8TJkygZcuWHDlyhM6dO6Orq0vjxo2ZPn06p0+fTvXdly5dOsvqxoocZVWvYdOmTbl06RJr1qxBJpNhaGiIh4eHss1VemQlbr28vHjz5k2qiutNmzalYMGCQjiygICAgICAwL+G30LYJiQkcOrUqVQPh+vWrePq1atpKpeqI2pXrFiBkZERQUFBSiGU0iOsCooc0Yy8RooQ6ubNm3P69GmmTZtG48aN0dXVpUuXLhw9epSWLVuyc+dOXr9+zaVLl5g7dy5r167l+/fvzJgxQy17fsTDw4PPnz/j6emZ5dh/StyKxWJlXnN6olbVHOUfsbCw4OzZs2zevJkLFy5Qu3Zt3Nzc+PDhg9o2ikQiAgICuHXrlrLtUHaZOHEiFStWZMKECdmaf+/ePbp27YpYLKZ48eJcvHiRNWvWULZsWZXXUOSIpow2+FHcrlu3jpIlS1K/fv1s2akO6opaSPak+/j4cOjQIY4dO5btvb99+4ajoyPNmjXDx8eHFStWcO/ePe7evcuSJUuoUKECixYtolmzZujo6NChQwcCAgK4efMmYrE40xdbihxla2trle1RtGJSFPyaPXs2tWrVYseOHRnuk5m4VVRc9/X15e7du0DytbO2thba/ggICAgICAj8a/gthO25c+f4/Pmz0mP37t07XF1d6dOnD40bN041LitRK5fLOX78OJBcvGf8+PFERUUxePDgbHlEmzVrRv78+dM8IMrlcm7cuMG0adPQ0NCgR48eNGvWjMWLF1OhQgWWLl3K3bt3uXv3LsuXL6d79+7o6Ogo55cpU4Zp06axbNmybIcL3r59m0WLFuHm5kb58uVVmvNPiFsLCwu0tLTw8/NLI2ohOZRb1RzlHxGJRPTp04fIyEicnZ3x9fXFwMCADRs2qFSkJyXm5uYMGzaM6dOnExsbq7YtkJzPevjwYXx8fDINc0+P9+/f4+rqSq1atbh06RJbtmzhzJkzNGjQIFu2iMVibt68ydOnT5WfpRS3f/31F2ZmZmhqamZrfVXJjqhV0K1bN5o3b54jT/qyZcu4ffs2AQEBqe676tWrM3LkSHbu3ElMTAwXL15kypQpfPz4EWdnZ4yNjVm7di3Pnz9n/vz5PH/+PM3aOclRLl68uLJdl5mZGX/++SfDhw/PcHxm4tbZ2Rk9Pb1UeeJisZhTp07lSR9oAQEBAQEBAYHc5rcQtlKplFKlSlG3bl0A5syZw/v371PlJ6oiaq9cuYK1tTVTpkwBYNeuXcybN4/ixYtn27aUOaLPnz9n48aNDBgwgAoVKlCnTh0OHDhAiRIlcHNz49KlS8TExLBz505GjBhB9erVM117/PjxVKtWDUdHx2wVeZk4cSKVKlXC0dFRrXk/W9wuW7aMz58/U7FixTSiFpK9Xum1eVKHIkWK4OHhwe3bt7G2tmbgwIFYWVkpCyipyuzZs0lMTGT69Olq26DwDDZv3pyuXbuqPC8pKYn169djYGCAv78/rq6u3L59m969e2eaR5sVihxRRdVeBcWKFWPHjh0kJiZy/vz5TPvc5pSciFpIfnHh7+9PZGQky5YtU3v/169fM336dIYNG4aZmVmG4zQ1NbGwsMDV1ZXAwEDi4+M5duwY/fv3RyQS4erqSvny5TExMcHR0ZEjR44QHx/PyZMncxzKra+vrywG9ubNGyA5R/vVq1dpxmYkbgsXLoyXlxf79u1Tft8SiYSPHz+q/TsgICAgICAgIPBP8NsIW1tbWzQ0NIiOjsbPzw8XFxdlHmxWovbly5cMGzYMCwsL3rx5w9KlSwFUzqPNiA8fPnD48GG+ffvGwYMHKV++PAMGDCA8PJy+ffty8OBBChUqhIuLC66urjRo0EAt71eBAgXw9fVFKpWqLS6PHDnCkSNH8PHxUeYlq8PPEreKnFpbW1tevHjBx48fUx1PSkpKN0c5u1SpUkXZvunr169YWVkxYMCAVF7LzNDT01N60iMiItTae+nSpURFReHv76+yID137hyNGjVi0KBBNG/enMjISGbMmJErVYpLly6Nubl5uuGoV69eBaB27dqZ9rnNCTkVtQrMzMwYPnw406dPT7ftTWZMnz6dpKQktfsUFy5cmD/++AN/f39sbGywtbVly5YtWFhYsGvXLtq1a0fp0qV5//49jx494vz58zmu0C2RSNi2bRuQ/DJCX1+fBQsWpPG4ZiRue/XqRZMmTXBwcOD79++YmZmhq6srhCMLCAgICAgI/Cv41wvb+Ph4Ll++rBQ2P7ZeyUzUJiQk4O3tjb6+Pnv27GHRokWEhoZmWkQpM75//8758+eZNWsWzZo1Q1tbm/bt23P37l2SkpKYMWMGL1++JDQ0FG9vb4oWLcrnz59zJMrat29Pq1atmDBhAgkJCSrN+fr1q7IITpcuXbK9d16L25SFopYsWaKs0puS69ev8+rVq1yvzNusWTMuX77MypUrOXbsGAYGBsyZM4fPnz9nOXfcuHHUqFEDBwcHlT3pMTExTJ8+neHDh2fqGVTw5MkT+vXrR+PGjfn+/TvBwcFs27ZNrWrYqpBRjqhUKqVq1aoEBQVl2uc2u+SWqFUwe/Zs5HI506ZNU3lOREQEy5cvZ/r06ejp6WV7b7FYzPnz5+nWrRtr167l0aNH3L59m1atWpE/f362bNmClZUVpUqVokuXLixdupTo6OhsRWHky5cPgH379tG/f3+cnZ2pU6cOhw4dSrVeeuJWkSd+48YNVq5ciYaGBra2tkIBKQEBAQEBAYF/Bf96YRsYGIhcLkcikfD3339z4MABvL29KVy4cIaiVi6Xc/DgQerUqYOrqysDBw5UFmJRPBiqglwuJyoqiqVLl9KlSxdKlSqFlZUVPj4+6Ojo4O/vz+3bt3ny5AklSpRAJBKlekD+MYQ6O4hEIvz8/Hjw4AEBAQEqzVmyZAnR0dFqeQYzIq/E7Y/Vjw0MDKhUqVIa71F6bZ5yC01NTYYPH050dDSjR49mxowZ1K5dm927d2cqOgoUKICfnx+BgYHs379fpb0UgmvWrFmZjvv8+TOzZ8/G0NAQqVTK6tWruXTpklrFh9RBIpHw4sWLNHncihY1xYsXz7TPbXbIbVELyd7n6dOns2LFCsLDw1Wywd7enpo1a+Z4/x9DekUiEYaGhrx7946OHTsSFxdHSEgIEyZM4PXr19jb22NgYEDVqlUZNmwY27dvJyYmRq09S5YsyeLFiwkNDaVy5cp06NCBNm3acOvWLeWY9MRt/fr1GTx4MO7u7sTFxSm/U0WIs4CAgICAgIDAr8q/XtjKZDL09fUpX748jo6OWFtb06NHjwxF7c2bN2ndujUdO3akatWqhIWFsWjRIpXzM2NiYti2bRtDhw6latWqGBoaYm9vT2xsLBMmTCAkJITY2Fj27duHnZ0dhoaG5M+fn5YtW6bxfMhkMmUIdU6oXbs2dnZ2zJo1ixcvXmRp/8yZMxk5ciSmpqY52ldBbovb9Fr6KKr0/ngNpVJpqjZPeUGJEiXw8fHh+vXrGBsb0717d1q2bElYWFiGc9q2bUvr1q2ZOHFilp708PBwVq5cyYwZMyhdunS6Y+RyOTt37qRWrVp4eHgwZswYoqKiGDp0aJ4Wb1K0fUn5QuHHKtQZ9bnNDnkhahXY2dmhr6+vkid93759BAUF4efnR4ECBXK0r7m5OTo6Oqnu3Xfv3nH+/HnEYjH58uXDysqKadOmcfr0aeLi4jh48CCdO3fm3Llz9OrVCz09PerVq4ezszNSqVSlyAEAExMTpFIp+/btIzo6GhMTExwcHIiPjwfSF7dz5szh27dvzJgxA7FYTFJSEidPnszRNRAQEBAQEBAQyGv+9cJWKpUikUhYvnw5t27dIiAggPPnz6cRtXFxcYwfPx5TU1Pu3r2rLLZibGyc6fqfP3/m77//xtnZGXNzc/T09Ojduzfnz5+nS5cuHDp0iLi4OIKDg5k2bRpWVlbpen0lEgnnzp3j/fv3QNoQ6pwyffp0ChQogJubW6bj3N3dEYlEeHh45Mq+CnJL3GbUpxaSr+GNGzd49uwZkBxKHhwc/NP6qBoaGnLo0CGOHj3Ky5cvqVevHqNGjUrXmyYSifD19eXhw4f4+/tnuKZcLsfBwQF9fX3s7OzSHRMaGkqLFi3o2bMnpqam3LhxA29vb0qUKJFbp5YhWlpaNG3aNJUok8lkaapQ54a4zUtRC//LSQ8KCmLfvn0Zjvvy5QtOTk60bt2atm3b5nhfRUhvypcDp06dIjExMd17t1ixYrRv314ZFvzkyRPWr1+PsbExGzdupFWrVmhrayMWi5k/fz5XrlzJtIK3SCSiU6dO3Lx5kzlz5rBmzRr09fVZtmwZ379/TyNu8+XLx9SpU1m6dCmfPn2iZs2aQp6tgICAgICAwC/Pv1rY3r9/n7t372Jpacm0adMYOnQoX758SSVqCxUqxNKlS9HX12fdunV4enpy48YNOnbsmG4YbmJiojJcb9SoUWhra/PHH3+wceNGTExMWL9+PU+fPuXGjRv4+/vTrl07ihUrlqWtYrE4VY5oUFAQSUlJuZYbqqOjw6xZs/jrr7+4fPlyumNCQ0OVnsFSpUrlyr4pyam4zUzUAkohpajaGhISkqrN08+idevWhIeH4+vry7Zt29DX18ff3z9NO5latWoxduxYZs+enW6rF4C9e/cqPYP58+dPdSwmJoaRI0dSr149YmJiOHbsGAcOHEBfXz/Pzi09fmz7IpPJMDc3T3MP5UTc5rWoVdC2bVvatGnDxIkT+fLlS7pj/P39efToEb6+vrm2r+J6vH37FvhfjnJWlc8BKlSowIABA9i4cSPPnj0jIiICT09PChYsyKxZs2jQoAF6enr8+eef7NmzJ8N1ChYsyOTJk4mKiqJjx46MGTOGevXqERQUlEbc9u3bl6pVq+Lg4JBGlAsICAgICAgI/Ir8q4WtTCZDQ0OD06dPk5iYSOfOnVOJ2gsXLmBubs7YsWPp3LkzUVFRTJo0iYIFC6Za5/79+6xcuZKePXuip6dHv379gGQPz7x584iIiODZs2ds2LCBAQMGqNzzNSX6+vpUrlxZ6fmSSqXo6+tTpUqVnF+I/2fEiBEYGxtjb2+fJtRS4Rk0NDRkzJgxubbnj2RX3GYlaiG54rCZmZnyIVsmk1G6dOkc5Shnl/z582Nvb090dDS9e/dm4sSJmJqacvTo0VTjpk+fTsGCBZUtpFLy5csXJk6cqBRbCr5+/Yqvry/6+vrs2LEDf39/wsLC+OOPP/L8vNIjZY6oXC7PtAp1dsTtzxK1Cnx9fXn8+DF+fn5pjj179ozZs2czduxYatWqlWt7KkJ6g4KCgP9Fmqib4y4SiahTpw6Ojo4cPnyYuLg4Tp06xejRo3n48CFz584FoFOnTowePZrdu3crw44VlCtXjrVr13Lx4kWKFi2KjY0N3bp1Q0tLSylu27Zty4wZM5BKpWhraxMdHc3Dhw9z52IICAgICAgICOQB/2phK5VKqVOnDmvXrmXAgAH07t0bMzMzlixZwoABA5TFbS5evMiaNWsoW7YskBwGvHv3bkaNGkXNmjWpXr06o0eP5vHjx9jZ2bFq1SoAFi5ciIODA3Xq1MlxkSVFjqhClCmK7+Qm+fLlw9/fn5CQEGXbDwW7d+/m1KlT+Pv7p/EM5jbqiltVRK2ClFV6U7Z5+qcoXbo0y5Yt4+rVq5QtW5a2bdvSrl07IiMjAdDW1mb27NmsW7eOS5cupZrr6+vLkydPUnkGjxw5gomJCZMmTaJPnz5ER0czfvz4PP/OMkORIyqVSomIiODly5eZ3rvqiNufLWoBjIyMGDduHHPmzFGGtSuYMmUKWlpaalVPVoVq1apRo0YNpFJpmhzlnFCgQAGaNWvGrFmzOH/+vFI4W1lZceLECbp3706pUqWwtLTEzc2NkydPKnO+LSwsOHv2LJs3b+bChQvUrl2bLVu2cOjQIV68eIG3tzfNmzdnx44diEQioTqygICAgICAwC/Nv1bYJiUlceLECd69e0eFChVYt24dJiYmWFhY0KBBAy5dusSWLVs4c+YMJiYmBAUF4ebmRsOGDSlVqhTdu3cnKCiIP/74g7179xIbG8u5c+fw8PCgXr16eWKzWCzm5s2bnD9/nrt37+ZJbqitrS1dunTB2dlZ2fP18+fPODk50b59+5/m9VNV3KojaiHZe/j8+XPOnTvH5cuXf3oYckbUrVuXwMBAdu/ezc2bN6lTpw4TJ07kzZs3DB8+HFNT01Se9JiYGObOncv48eMxNDTk9u3bSlFcoUIFQkNDWbp0aZ6EjKtLyhxRmUxGoUKFaNq0aaZzVBG3/4SoVTBt2jS0tLRwdXVVfnbx4kXWr1/P7Nmz0dbWzvU9FcXP0stRzi0UaREuLi5ERUXx4MEDVq5cSbVq1Vi5ciUtW7ZER0eHNm3a4OvrS0REBL179yYyMhJnZ2d8fX3p1KkT9vb2PH/+nOfPn/PgwQMqVqwoCFsBAQEBAQGBX5p/nbBNSpKzP/Qp7f1kaP3pw2erkbzXMaRc+QrcuXOHpUuX4uLiws6dO3n27Blt2rRBW1sbGxsbVq5cSY0aNVi5ciUPHjwgMjKSJUuW0LlzZ0qWLJnnttva2gIoe0S2bNkyT/bx8fHh1atXeHt7A8mewWfPnrFgwYI82S8jshK36opaAGtrawoWLMiqVauUbZ5+FUQiEV27duXWrVvMnDmTFStWoK+vz5o1a1iwYAHnzp3j2LFjQPK5a2lpMX78eBwdHTExMeH27dvs2bOHEydOYGJi8g+fTWokEgmXLl3iyJEjKlehzkzc/pOiFpLb4cyePZsNGzZw8eJFZXsfU1NThg0blid7isVioqKi2L9/P/Xq1VO5EntOqFKlCkOHDmXbtm28fPmSq1evMn36dBITE3Fzc6Nu3bqUK1eOESNGUL16dYKCgrC2tsbNzY2yZcsSExODtrYOb0vW5HSB+jSed4I/V55jf+hTkpLU77MrICAgICAgIJBXqN609RcgKUmOw/ZrHAh/jgg5+UrooVlMl0JVTIi7cZLqL4MpX64cy5cvx8PDg0KFCmFtbc3MmTMRi8XUrVv3Hw9bNTMzIzAwEAsLizwT09WrV2fChAnMnz+ftm3bKj2DBgYGebJfZijEba9evejWrRu7d++mQ4cO2RK1kFylt0mTJgQGBirzln81ChUqxJQpUxg0aBCurq6MHDmSunXrYm1tzcKFCwE4fPgwffv2pUGDBnz+/JlZs2bh4OCQp22LcoIiR/T06dNZ9tpNiULctm7dWhmKb2Fh8Y+KWgXDhg1j6dKljB8/Hjs7O86fP09gYGCetU+ysbFBJBIRGBjI6NGj82SPzNDQ0MDc3Bxzc3OcnZ358uULZ8+eRSqVIpVK2bp1K3K5HCMjI7p27cq1a9eIj3+DXmdnihpZI09K5NnbL7x494UL9+M4cfsV/j3N0NDIWZqGgICAgICAgEBu8K/y2B4Mf8aB8OTqsnKSH6ZEGskPoUWNW3DzgxZPnjxhyJAhyGQy4uPj+fvvv5k0aRLm5ub/qKhVIBaLefToUZ6H0E6ZMoWSJUvSs2dPihQpgru7e57ulxk/em5HjBiRLVGrQCKR8Pjx4zwJ5cxNypcvz/r16zl//jwFCxbk9OnTvH79GkjOjdy8eTPt2rUjKioKFxeXX1bUQnKOaPny5fn69avaXvIfPbf9+vX7x0UtgKamJgEBAVy4cIHx48fTrVu3PIuigOR869q1a/Pu3btfItKgUKFC2NraMm/ePK5cucKrV6/Yvn071tbWXL16lfv371PUuDlaRtbA//7WKhy1B8KecTD8WUbLCwgICAgICAj8VP5VHtstFx+hIfrfg1VKRMhpPMCZeZKyys9u3ryZrX0U7X4U/5ubaGpqIpfLyZcvH1evXs319VPSrl071qxZw4ABA7h7967K8/Lq/J2dnYmIiGDVqlW0aNGCXr16ce3aNbXXKVCgAHK5HA0NjTy/hrlB/vz5WbJkCVu2bFH2tM2XLx+LFy+mfv36vHjxghcvXvyzRqpA8eLFefHiBYmJidm67p6ennTv3p0tW7bQv39/GjdunOvfn7r3bvHixalatSoPHjygZ8+eeX4/FSlSBEgWlXmxV05/d2vWrEnNmjUZOXIkT548YebpN8QlJUE6LwU1RMl/kzuZVciRzQK/Hl9Cl/zTJij5lWyBX8sewZb00cr/a0WR/ErXRrAlfX4lW+DXsudXskUVRPIf+8L8wjSZf4Knb9LvPQnw/e0rni4b8hMtEhAQEPh9qTB6LflK6GV8vKQWZyf/2pETAuqR0w4AAgICAgICuY2qcvVf5bGtqF2Y52+/pOuxlSclUuDbe7S1tYmPj6dgwYKYm5tjaWmJpaUl+vr6Koci37p1i379+rFp06Zc7WUJMHr0aCIjI6lTp44y3zIvOHToENOnT8fV1RVPT0/c3d3p3LmzSnPz4vy3bduGt7c3/fv3x87OjilTphAcHIy3tzfNmjVTa63Jkydz6dIlKleuzLp163LFvrwgKSmJY8eOsXDhQt6+fUutWrW4ceMG379/B6BevXpcvXoVU1NTnJycMDY2/octzph3795hY2ODXC5X616C5D9G/v7+bNq0CWdnZ9q3b8+4ceOUxd7q1KmTa3aqe+9OnjyZ0NBQ2rZty7Zt29i9e3e2+lSrwtevX2nRogWJiYnY2dkxYMCAXN9D3fNPSEggLCyM8+fPc/HiRW7fvo1cLqdy5cpoaWnx5u1LNIvpKsOQU6IhgoraWrl+DgL/PIXM7P5pE5Regl/BFvi17BFsSZ9fyRb4nz2fv/3z/iOFF/tXuDa/0vf0K9kCv5Y9v6ItqvCvErZ9Glbmwv24dI+JNDR5eXY3hlWr4uvrS2xsLFKplJUrVxIQEEDp0qWxtbVFIpEgFotVKjpUq1atXG398/nzZ8LCwhCLxZw8eZI6depQoECBXFtfwfv371m+fDk9e/Zk7ty5PHr0iBUrVjBx4kRKlCih8jq5df6LFi3C29s7VU7tsWPH6NWrF87OzsqCUqqgCINt0qQJx44do0aNGmqd08/iwoUL2Nvbc+HCBbp378748eORSCQMHDiQNWvWYGxsTFJSElKplIkTJzJgwAAGDhyIp6cn5cqV+6fNT8OePXuQy+XUrVuXqKgole8LRfXjTZs2pcqpPX36NK1bt2bcuHFIpVIaNmyYq/aqcu+eOnUKmUzGhg0b6NKlCzKZjPXr17Nz585ctUWBoods48aNuXXrVp61FYOMzz8pKYmwsDBkMhlSqZTTp0/z5csX9PT0EIvFODk58fr1a3x8fIiJiUGvzCWonH6F7iR58t9kAQEBAQEBAYFfgX++mpIadDAtT8e6yd4URSFOeVIiAB9unKRzvUpoamoyePBgLl26xMqVK4mLiyMwMJBhw4Zx9+5dhg0bRpUqVTA0NMTOzo59+/bx9u3bn2L/mTNnSEhIoH///nz8+JHz58/nyT6enp7Ex8fj5eUFwLx58/jw4QOzZ8/Ok/0yI6Pqx6r2uf2R0NBQ4uLiGDBgAElJSQQFBeWl+Wrz7NkzBg4cSKNGjfjy5QsnT55k586dBAQEUKpUKQYPHgzApEmTCA0N5f79+1y5coVly5Zx6NAhDAwMmDdvHl++ZBxy/08glUrR19enXbt2nDhxgqSkpCznZNbSR5U+t3lJYmIi9vb2WFpa0rdvX4oWLcr8+fPZtWsXJ0+ezJM9pVIppUuXpkuXLgQHB/+07/jRo0esWbOGXr16UaZMGerVq8f06dPR1NRk9uzZhIWF8fz5c0aOHMmiRYuYPHkyNjY2mJiYEHtVSkLU2eSF5MnfueJvb8e65elgmjfebQEBAQEBAQEBdflXCVsNDRH+Pc0I+NMMi6o65Et4R/43j4jZ70XnMm/YsnkzNjY2rF27llOnTmFkZMS8efOwtLRk7ty5XLx4kdevX7Nz505atmzJsWPH6NKlCzo6OlhZWTFt2jSCg4P59u1bntgvlUopW7Ys3bt3R0dHB6lUmut73Lt3jwULFuDs7EyVKlUAqFixIq6urgQEBBAVFZXre2ZEVi19siNupVIpRYoUoUuXLlSvXj1PrmF2+PLlC56enhgYGHDkyBFWrFjBlStXaN68OUFBQezevZv58+ejpZUcumliYkL//v1xc3Pjw4cPjBo1iujoaIYNG4a7uzvGxsbs27dP5ZyCvEYqlSIWi5FIJLx+/ZqwsLBMx6vSp/afFLdr1qwhLCyMgIAAZYpCnz59aNSoEfb29iQmJub6njKZDFtbW1q1aqVstZNXBAYGYmdnh4GBAVWqVGH48OHcu3ePESNGEBgYSHx8PEePHlVGcfTu3ZvmzZuTP39+ZDIZT58+5datW7Ru/Qcf/l7M26P+lM//mQoltbCoqkPAn2ZCqx8BAQEBAQGBX4p/lbCFZHHbyawC20dYMUzvIc83TcayrCbBp07h5eWFl5cXkZGRREZGYm9vj6enJ0ZGRmzbtg25XI6Ojg7du3dn+fLl3L17l7t377Js2TIqVqzI4sWLad68ubLlx5YtW7hx40auiQuZTIZYLEZTUxNbW1tkMlmurJsSJycn9PT0cHZ2TvX5xIkTKV++PBMnTsz1PdND1T616opbmUxG8+bNKVCgABKJJE+uoTrI5XL27NlD7dq1mTZtGiNGjCA6OpoRI0agqalJYmIiDg4OWFlZ0adPn1RzPT09+fTpk7IvrLa2Nn5+foSHh6Ovr0+XLl0Qi8VERET8E6em5P79+9y9exeJRIKVlRWFCxfO9LqrImoV/BPi9s2bN7i5uTFgwAAsLS2Vn2toaBAQEEB4eDirV6/O1T3j4+O5fPkyYrEYExMT9PT0cu3e/fr1K8HBwbi7uzNo0CAgOSLg+PHj2NjYsGvXLl6/fs3FixeZM2cOLVu2pGDBgnz8+JHp06djZGREcHAw69evRyaTMWPGDMLCwli2bBl79+6lb98+vAmTsaSrPmcn27B9hBWdzCoIolZAQEBAQEDgl+JfJ2xTIpFI+PTpE/379+fu3btoamri6+vL/PnzmTt3LnPnzuXmzZvUr1+f3r17Y21tzZUrV1KtUb16dUaMGMHOnTuJiYnh0qVLDB06FICFCxdSp04dKlSowIABA9i4cSPPnmWvb2NMTAzXrl1T9q9UPMS/efMmR9cgJYGBgezdu5f58+cr24oo0NLSwtvbm0OHDnH8+PFc2zM9VBW1ClQVt58/f+bMmTOprmFUVBSPHj3K9XNQhfDwcGxtbenWrRu1atUiIiICX19fSpYsqRyzevVqwsPDCQgISHMdKlSogKurKwsXLiQyMlL5ea1atTh69CiHDh3iyZMnmJmZYWdnR2xs7M86tVTIZDI0NDSUgqhZs2YZesrVEbUKfra4nTVrFp8/f8bT0zPNsYYNGzJgwACmTp2aq7+bQUFBJCUlIZFIEIlEiMXibEcbyOVyrl+/jr+/P+3atUNHR4fmzZuzdOlSypQpA8CBAwe4c+cOy5cvp1u3bujo6KSav2XLFmVEi6OjI1FRUXTt2pV27doRFhbGsWPHWL9+PVWrVqVkyZKUKlWKunXr5sq1EBAQEBAQEBDIC/7VwtbMzAwdHR3u37/PqFGjmDlzJn379lWKW1dXV6pXr87evXuRSqW8efMGCwsLhg4dmm7fUE1NTRo0aKDMgwwKCuL48eP07duXiIgIBgwYQIUKFahTpw4ODg4cPnyYDx8+qGRrYGAgALa2tgCIxeJczRH9/v07Dg4ONG7cmN69e6c7pnv37jRr1gxHR8c8C7dWV9QqUEXcnj59moSEBMRiMQAtW7ZEJBL9dK/t69evGT16NObm5jx79ozDhw9z+PBhjIyMUo2Lj4/Hzc2NgQMHYmFhke5aEyZMoGLFimk86SKRiHbt2hEREYG3tzebNm1CX1+fhQsX5tl3lxEymQwLCwulYBeLxcqiQynJjqhV8LPEbWRkJAsXLmTKlCkZVj/29PTk8+fPeHh45Nq+ihxlRdE6iUTC1atXVX5Z8ezZMzZs2ED//v0pX748JiYmuLi4kJCQwNSpU7l8+TIxMTHMnz8fSH5pkh6XL1+madOm9O3bl4YNG3Lr1i3mzp2LSCSiTZs2hIWFcfz4cWXxPV9fX06ePImtra3KVeUFBAQEBAQEBP4J/tVPKoqQXqlUioeHB5qamkydOhVHR8dU4lYulyMWiwkNDWXx4sXs27cPAwMDvL29SUhIyHB9LS0tWrVqhbe3N9euXePly5ds2bIFS0tL9uzZQ/v27dHW1qZZs2bMmjWLc+fOKVu5/IhUKqV27drKB85q1apRo0aNXBNlq1atIiIiIl3PoAKRSERAQAC3b99m2bJlubJvSrIrahVkJW5lMhnlypVTtsXR0dGhQYMGPy3P9tu3bwQEBKCvr8/WrVvx8fEhPDyctm3bpjvew8ODhISEdD2DCrS0tPDx8eHw4cMcPXo0zfECBQowYcIEoqOj6d69Ow4ODtStW5e///47184rM5KSkjhx4oTSSw7JouzHHNGciFoFP0PcKl4kTJgwIcMx5cuXx83NjUWLFnH79u1c2Vcqlaa6hmKxGLlcrnzh9SPv37/n0KFDODg4YGxsTIUKFRg4cCDXr1+nf//+HD9+nLi4OGQyGS4uLtSvXz9T4fnixQuGDBmChYUF796948SJE+zevZvq1avz4cOHVKK2Xr16TJgwAYlEQtOmTbl06VIq2wUEBAQEBAQEfkX+1cIWkh8QL168iKamJjNnzmT16tVcu3YtXXGbL18+xowZQ3R0NIMGDcLV1ZU6depw8OBBlfJo9fT06N27N2vWrOHhw4dERkbi7++Prq4uPj4+NG7cmFKlStGlSxeWLFlCVFQUcrkcuVyuLL6TEolEkiuiLC4uDnd3dwYPHkyDBg0yHWtmZsbw4cOZPn06r1+/zvHeCnIqahVkJm4V1zDl2mKxGJlMplKV3pxw/PhxTE1NcXR05M8//yQ6OhpHR8cM2zXdunWLxYsX4+bmlmX7nq5du9KiRYtMPel6enqsXLmSK1euULp0af744w86duxIdHR0js8tM65du0ZsbGyqe1eRI6q4d3ND1CrIS3F75MgRjhw5woIFCyhUqFCmYx0dHalUqVKmAlhVUuYoK6hYsSJGRkbKa/j9+3fOnTuHh4cHzZo1Q0dHhw4dOrB3716srKzYunUrr1694tq1a3h5edGqVSsKFy6c5d4JCQl4eXmhr6/PgQMHWLp0KdeuXcPGxgYgjai1srJi4cKF3L9/Hz8/P06ePElSUlKav10CAgICAgICAr8a/3phK5FISEpK4uTJk4waNYpatWphb2+PXC5PV9xCsqdv4cKFhIWFUa1aNTp27Mgff/zBjRs3VN5XJBJhYGCAnZ0de/fuJTY2lpCQECZOnEhsbCwODg4YGhpSpUoVevbsyaNHj9L06hSLxURHR/Pw4cMcXYOZM2eSkJDA3LlzVRo/e/Zs5HI506ZNy9G+CnJL1CpIT9zGxMQQGhqa7suB169fEx4enqM9MyIqKooOHTrQunVrypQpw9WrV1m+fDmlS5fOdN6ECROoXLkyDg4OWe4hEonw9/cnOjqaJUsyb0Jtbm7OyZMn2bFjB2FhYRgbG+Ps7My7d+/UOS2VkclkFC5cGCsrq1T2Kl4o5KaoVZAX4vbbt29MmDCBli1b0qVLlyzHFypUiAULFnD06FGOHDmSo70VOcotWrRQfiaXy2nQoAF79uyhc+fO6Orq0rhxYxYsWICuri4BAQFERkby4MEDVq9eTa9evbK851Iil8vZv38/xsbGTJkyhSFDhhAVFcXo0aPJly+5fXl6ovbly5fMmjWLMWPGYGxsjEwmQ19fX1lhXUBAQEBAQEDgV+VfL2wVIb1SqZT8+fPj5+fH6dOn2bVrF0CG4hbA2NiY48ePs3//fu7fv0/dunUZP358tvra5suXDysrK9zd3QkODiY+Pp5Dhw7RtWtXZchmv379MDc3Z9KkSfz9999YWVnlOEf05s2bLFmyhKlTp1K2bFmV5pQuXZpp06axYsWKHFfczW1Rq+BHcavoyfujsG3cuDFaWlq5Ho789u1bnJycqFOnDhEREezcuZOgoCDMzMyynHvkyBGOHTuGj49Plp5BBXXr1mX48OHMmDGDmJiYTMeKRCJ69OjB7du3cXd3Z8mSJejr67NmzZpcb1MjlUqVVahTosgRHTt2bK6KWgW5LW6XLFlCdHQ0/v7+Kt+jnTt3pmXLlkyYMIGvX79me2+ZTEbDhg35+vUrW7duZciQIVSpUoVNmzYRGxvLs2fPcHJy4ty5c8TGxrJ3717GjBmDgYFBeeV/SwAA2ixJREFUtn+fxowZQ+fOnalRo4ayeFnKAlLpiVoANzc38ufPz4wZM4C0IdQCAgICAgICAr8q/3phC/8LRwVo1aoVHTp0wMnJic+fPwOZi1uRSETHjh25fv06np6erFu3TunRyShfVhWKFi1Ku3bt8Pf3p1GjRlhYWLBhwwZMTEzYvHkzf/zxB9WrV6do0aIsXLiQy5cvqy1KFF7pqlWrquQZTMnYsWOpWbOm0rudHfJK1CpIKW59fX2pVKlSmoI/iiq9uZWrnJiYyOrVq9HX12fZsmVMnz6dW7du0b17d5XO7+vXrzg6OmJjY0Pnzp3V2lvR9kdVT7qWlhbu7u5ERkYikUgYNmwYDRs25MyZM2rtmxE/VqFOia2tLXK5nKVLl+a6qFWQW+I2JiaGGTNmMGLECExNTVWep44nPT0+ffrE0aNHOXjwIPfu3aNMmTL06dOHixcv0q1bN3bu3ImmpiZDhw7F3d2dRo0aKb2p2SE2NlZZPOrZs2ccPHiQY8eOUbt27VTjMhK1V65cYe3atXh4eKCjo8ODBw+4c+eOEIYsICAgICAg8K/gtxC2P7Z9WbBgAc+fP8fHx0c5JjNxC8kCadKkSURFRSlDBvv06cOJEydyZNv3798JDAykffv29O/fnw0bNvD06VOuX7/OvHnzKFOmDOHh4VhYWKCnp0fPnj1ZuXIl9+/fz3Ltw4cP8/fff7NgwQIKFiyoll0FChTAz8+PoKAg9u3bp/Z55bWoVZA/f362bt1KwYIFefr0abrVkiUSCcHBwWmq9KpLcHAwDRo0YPjw4fzxxx9ERUXh5uaGlpaWymssXryYO3fuqOUZVFC6dGlmzJjBypUrCQsLU3lexYoV2bRpE2fPnkVDQwNra2t69eqV4zZIZ86cISEhIY2wlcvlBAQEAMke87wQtQpyQ9y6u7sjEomyVeXY1NSUkSNHMnPmTF69epXp2MTERC5fvoynpyc2NjZoa2vTtm1bPn/+jLm5ORs2bODZs2dcv34dPz8/unfvjqWlZY6jDb5//87ixYvR19fn8OHDAOzatYv27dunuQczErVyuRx7e3tq167NyJEjgdRtngQEBAQEBAQEfnV+C2GraPuieEDU19fHwcEBT09PHj9+rByXlbgFKFu2rNJjVrRoUcRiMV26dOHu3bvZsu3y5cu8ffs2lddDJBJhbGyMg4MDq1atApKrGtvZ2fH48WNGjx5N9erVqVGjBqNGjWLXrl3ExcWlWlfhGRSLxXTs2DFbtrVt25Y2bdowceJEtUThzxK1Ch48eMDnz59p1KhRutWSxWJxmiq96vDw4UP+/PNPZcjtuXPn2LhxY4YtUzLi1atXzJw5k1GjRmFiYpItW+zs7DAwMMDBwUFtT3rjxo25cOEC69at49SpUxgZGTFjxgw+ffqULVukUilly5ZVVqGG1IWimjdvzrNnz7Lt8VeVnIjb0NBQVq5cyYwZM9TKUU2Jh4cHIpEId3f3NMfu3bvHihUr6NGjB3p6elhYWDBnzhwKFy6Ml5cXjo6OFClShAMHDtC/f/80hcQkEgmBgYHZDiGXyWSYmZkxfvx4unXrxt69e4HkF0I/kpGoBdi+fTtnz54lICBA6TWWSqWp2jwJCAgICAgICPzK/BbCVtH2JWU46tSpUylWrBguLi6pxqoibhWsWbOGrVu3cvnyZWrXro2Liwvv379XyzaZTEbx4sXTFI5SYGVlReHChYmPj8fDwyNVnl3r1q0JCgqiR48elCpVioYNGzJlyhSCgoLw9fVVVi7NibD09fXl8ePH+Pn5qTT+Z4taSL6G+fLl4+DBg+lWS1ZU6VU3HPnjx49Mnz4dIyMjgoODWb9+PefOnaNRo0bZsnPq1KloamrmqP+pIk/85MmT7NmzR+35GhoaDBw4kKioKOzt7fH09MTIyIht27apLUBlMlmqKtQ/FoqaMGECDx484N69e2rbqS7ZEbdyuVxZxG3MmDHZ3rtUqVLMnDmTVatWcerUKXbt2sXIkSOpUaMGNWrUwM7OjqdPn2JnZ0dwcDBxcXEcOnQIe3t7wsPD081RViCRSIiPj+fq1atq2XTnzh06deqERCJBW1uby5cvs2rVKnR1ddMdn5mo/fTpE5MmTaJz587KPtvptXkSEBAQEBAQEPiV+S2ELSQ/IKZs+1K8eHHmzp3Lli1bCAkJSTVWVXErEono1asXkZGRuLq6snDhQgwMDFi3bp3K7WWkUiktW7bMMHdOkSOaMhyxZMmSdO7cmSVLlhAZGcnDhw9ZvXo1NWrUYNWqVdjY2ODq6kqFChU4fvw4YWFh2W53Y2RkxNixY5kzZw7Pnj3LdOw/IWoh+RpaWVmho6OTbisgDQ0NZT9jVZDL5WzZsgUjIyPmzZuHo6MjUVFRDBgwINNeoJkRGhrK6tWrmTFjRobiQlVat25N27ZtcXJyynZ4dbFixfD09OTmzZvUr1+f3r17Y21tzZUrV1SaHxMTw7Vr15SRBulVP27RogWampo/rY+wuuJ2z549nDp1Cj8/v3Q9mKqQkJBAYGAgT58+pWDBgrRo0YIePXpw6tQp2rRpw759+5QV0T08PLC2tlaK2MxylBU0bNiQYsWKqXwN3717x+TJk6lduzbXrl1j27ZtBAcHU69evQznZCZqAby9vXn16lWq1I3Q0FBiY2MFYSsgICAgICDwr+G3EbZisThN25dBgwZRr1497O3t0wg/dTy3hQsXZsaMGdy+fZsWLVowePBgLC0t0wjmH/nw4QPnzp3LsviKWCzm9OnTGYqYypUrM2TIELZu3crLly/p0qULWlpa1KhRg6lTp2JmZka5cuXo27cvf/31F0+ePMl0vx+ZNm0aWlpaTJkyJcMx/5SoVeQoK65hRn1uFVV6Y2NjM13v8uXLNG3alL59+9KwYUNu3brF3LlzKVasWLZtVOQnGhkZMXr06GyvkxJfX1+ePHmCr69vjtapUaMGe/fuRSqV8ubNGywsLBg6dCgvXrzIdF5gYCCQfG9m1NKnePHiuZIjqg6qitsvX77g5OREu3btaN26tcrrJyUlERYWho+PD61bt0ZbWxtbW1v++usvpSd/6dKl3L59m8WLF9OpUydKlCiR7lqKHOXMfv/z589PixYtsow2SEpKYu3atRgYGLBo0SKmTp3K7du3+fPPPzP9XcxK1D569Ij58+fj6OhIjRo1lJ/LZDKKFCmS7egFAQEBAQEBAYGfzW8jbNNr+6KpqUlAQACXL19mw4YNaeaoI24hWWBu3bqV4OBgkpKSaNKkCX379s1QSAYHB/Pt27csvR4SiUTlHNHQ0FD27duHl5cXgYGBxMfHI5PJGDJkCJGRkQwdOpRKlSphZGTEuHHj2L9/f5Y9TrW1tZk9ezbr169PVyj8U6IWkoXou3fvUl3D9MStQoApBNmPvHjxgiFDhmBhYcH79+85ceIEu3fvpnr16jm2cdeuXQQHB+fIM/gjhoaGjB8/nrlz5/L06dMcrycWiwkNDWXx4sXs27cPAwMDvL29SUhISHe8VCqldu3alC9fPtM+tTnNEc0OqojbzZs3q/xi4PHjx6xdu5Y+ffpQtmxZzMzMcHd3Ry6X4+HhwbVr13jx4gVBQUG0b9+e+fPnKyuuZ0Z6OcrpIRaLOXv2bIa50GfPnqVhw4YMHToUGxsbIiMjmTZtGoULF8503axELcDkyZMpUaIEbm5uaWzPLIRaQEBAQEBAQOBX47cRtumF9AI0bdqUXr164eLikq7AU1fcAlhbW3Px4kXWrFmDTCbD0NCQWbNmpXnYlf4fe2cdVUX6//HXJWxUQEXsWBAVUMQujHvVtbu7XYNWMTBAUEAEO1ZX7O6+F2xFFJMQWLtFQcVAifn94e/er0jdC7jr7s7rnDmeM/PM83xmGHDe8ym5nHLlymFqaprlfObm5pQqVSpbz9e3lUvHjh0LQIECBWjdujWenp5cuXKF2NhYduzYgY2NDYcPH6Zr164YGBjQpEkTZs2axblz50hKSko398iRI7G0tGTSpElpvNt/p6iFr/ewaNGi1KtXL83+78Xt9evXqVatWrp7+PnzZ7y8vDAxMeHAgQMsX76cq1ev0qpVqzyx79OnTzg5OdGpUyfatm2bJ3MqmTlzJoUKFcLFxSVP5tPR0eG3334jJiaGoUOH4uLigrm5OQcPHkzz3AuCgFwup3Xr1lmKWvgqbN+8eaN2iHNekZ24XbduHba2thn+7r19+5b9+/czYcIEzMzMqFChAiNHjiQmJoaRI0cSGBhIfHw8x48fx8nJidq1a6tC1BcuXMjTp09ZuHBhtjZ+n6OcGTKZjC9fvnDmzJk0+x89ekT//v1p2rQp8NUDvGXLFsqXL5/t2h8/fsxW1J49e5Zt27bh6emZJmLh06dPnD17VmzzIyIiIiIiIvKP4l8jbOHrC2JGIb0LFizg3bt3eHh4ZHheTsSttrY2w4cPJyYmhvHjx+Pm5kb16tXZuXOn6nyFQoFMJsv2xVZLSytNL97M2LFjB+fOncPPzy/TnF1DQ0N69erFqlWruHv3Ln/++SfLli3D2NiYJUuW0KxZMwwMDOjUqROLFy8mIiICQRBU3u1Lly5x7NgxALZt2/a3ilr4eg8zy1H+Xtz+8ssvqnsoCAL79++nZs2aTJs2jeHDhxMdHc24ceNy1Sv0e3x8fHj27JlaQkdTihcvzrx589i4cSPBwcF5Nq+BgQGLFy/mxo0bVK5cmc6dO9O2bVvCw8OBr4WJHj58yKNHj7IUtfC/HNG86iOsCVmJ2wIFCqiqGCclJXH27FlmzZpF48aNMTQ0pGvXrhw5cgQbGxt27txJbGwsly9fxsPDg1atWlGgQIEM1zQ1NVUV5crKk67MUVYnR9XMzIyyZcuq7uHHjx+ZO3cu1apVIygoiHXr1hESEkKTJk3UvjcTJ07MUtSmpqZiZ2dH3bp1GTx4cJpj58+fz7DNk4iIiIiIiIjIz8y/TthmFNJboUIFJk+ezKJFizJt2/OtuF2yZInaaxYtWhQvLy/Cw8OxtLSkd+/e2NjYcOLECcLCwtT2emSXI/rx40cmT55M586dNfKkVK1alTFjxrBr1y5iY2MJCQnBxcWFDx8+4OzsTM2aNSlXrhxDhgzh8ePHdOjQgcWLFwNfi8r8naJWmaOc1Qv2t+L2+PHj3Lt3j6NHj9KmTRu6du1K1apVuXnzJv7+/hgYGOSpfY8fP2b+/PnY2tpiYmKSp3MrGT58OLVq1cLOzi7HBcIyo2bNmhw/fpz9+/dz7949atWqxaRJk9i7dy9aWlrs27cvS1EL/8sR/SvzbL/le3G7f/9+AHr37s369evp2LEjBgYGNG/enCVLllC2bFmWLVvGnTt3VK16evbsqVHBrxkzZlC4cOF0Fde/5dsc5eyQSCRIpVLkcjnbt2/HzMwMd3d3Jk6cSHR0NMOGDVO7qJkynDk6OjpTUQuwfv16rl69ir+/f7q51Q2hFhERERERERH5mfhXCVtlSG9G3qPJkydTqlQpnJycMj1fKW4DAgIANGqPogx1PX78OK9evVIVrKlVq5Za5ytzRAMDAzM8nheeQW1tberVq8e0adMICgoiLi6OY8eO0a9fP65fv86gQYM4fPgwsbGxALRq1YpZs2b9LaIW4PTp0yQlJWUrDpTiVtmqpH379ty/f5+DBw9y7NgxatSo8UPsmzp1KkWKFGHGjBk/ZH4gjSd98+bNeT6/RCKhc+fOhIWF4enpyfr163FxcSE1NRU/P78sRa0SZY7ohw8f8tw+ddDT02P9+vWUKlVK1Wpp9erVTJ48mY8fPzJt2jQuX75MbGwsO3fuZMyYMbnKrS5WrBgeHh5s2rSJixcvZjjm2xxldfjll1+4efMmffv2pU6dOkRERLBgwQKKFi2qtl3v379n4sSJACxbtixTUfvu3TtcXFzo378/jRs3Tndc3RBqEREREREREZGfiX+VsFWG9GbkPSpUqBDe3t7s27cvy7BJe3t7HBwcgK/5pZr2/mzTpg03btygbt26aGtr07hxY3x9ffny5UuW55UrVw4zM7MMbXv06JGqLc0vv/yikT1ZUbhwYdq2bYuPjw83btzg+fPnacISg4KCMDAwoEWLFri7u3Pp0iWSk5PzbP3sUCgUlC9fPtsc5eTkZFatWsWlS5eAr2JtwYIFdOzY8Ye9nF+4cIHNmzfj4eGRaVXcvMLGxoZevXoxZcoU3r9//0PWyJ8/P05OTvTr10/lGV6zZk2mH1q+RSaTqcJ9/yrev3/PkSNHsLe3x9zcHFNTU/7880/VcUdHR+Lj4wkKCsLFxUX1+5hXDBs2DCsrqwwrritzlNUJ5X3x4gWjRo1ShU1PnTqVffv2afx7riwUFR0dDYClpWWmY93d3Xn//j0LFixId+zVq1dqh1CLiIiIiIiIiPxM/KuELXz1HmUW0tunTx+aNGmCnZ1dlgJtwIABAAQEBKidc/stOjo6PH78mNGjRzNw4ECcnZ2xsLDgyJEj2doul8vTrTdlyhSKFi2arnJpXrNjxw42bNhA3759AWjYsCG+vr4UK1YMLy8vGjZsSIkSJejevTsrVqwgJiZG43ujCUpxkJU4VSgU1K5dm0mTJtGzZ09sbW3R0dGhb9++qlZAeU1qaiq2trbUqVOHoUOH/pA1vsfLy4v4+Hg8PT1/yPzKlj6rV68GYO3atRQvXhypVEq3bt0yDeGH/+WI/shw5OTkZIKDg3F3d8fGxgYDAwM6dOjArl27qF+/PmvXrsXIyIiWLVsCsHLlSsLCwn6YPUpP+uXLl9m4cWOaY8oc5awiDb58+YKPjw+mpqbs3r2bJUuWYG5unm0bpoz4tvrxsmXLshwbExODn58fU6dOpVy5cumOBwYGIgiCKvpBREREREREROSfwr9O2MpkskzbvkgkEvz9/YmIiGDVqlXZzuXg4KBRQSklkZGRPHv2jC5durBs2TKuX79OuXLl6NChA7/++iuRkZGZ2n7//n3u3r2r2nf+/Hm2bt2Kp6enRmGJmvJt9WNluHZwcDAWFhbs37+fuLg4zp8/j729PbGxsUyaNAlTU1MqV67MyJEj2b59uyqEOS949uwZ4eHhmYqDP//8ky5duiCTydDX1+fKlSusWbOGnj17kpSURNOmTdP0uc1LNmzYwJUrV/D3989TL2BWVKpUSVWh+N69e3k697d9ajt06ICenh6DBw/m7NmzbN26lStXrlCjRg2mTp1KQkJCuvOVOaJ5WUBKEASio6NZvnw53bp1o0SJEjRq1Ahvb2/09fXx9fXl9u3bPHz4kHXr1vHnn3/y9u1bHB0dga+hvVn1uc0LmjVrRp8+fdLdF7lcjo6ODjY2Nhle16FDhzA3N2fq1KkMHjyYmJgYJkyYQJs2bVAoFBr9rfm+pU9Wnlr46sk2NjbONCVDoVBQo0YNypYtq7YNIiIiIiIiIiI/A/86YasM6c3Me2Rtbc2wYcNwdXUlLi4uy7kGDBigcbVk+Ppimy9fPpo1awaAhYUFCoWCvXv3Eh0djaWlJfb29sTHx6c5r0WLFmhra6tsV3oGra2tGTJkiFpr54TMWvqYm5tja2tLSkoKOjo6NG7cmFmzZnH27Fni4uI4ePAgXbp04eLFi/Tt25dSpUpRp04dpkyZglwuV6vXZ2YoRdL3nqN3794xZcoUatSowbVr19i2bRtnzpyhTp06ADRo0IAiRYrQsmXLNH1u84qEhARcXFzo06ePqg3LX8WUKVMoUaIEzs7OeTbnt6J2yZIlJCQkqKpQSyQS+vbtS1RUFC4uLixevBhTU1PWr1+fLvxWJpNx8+ZNXrx4kWNbYmNj2bZtGyNHjqRSpUpUq1YNW1tbXr9+jYODAxcuXOD169fs27ePCRMmUK1aNSQSCXfv3sXX1xdnZ2eMjY0BVB7QHy1uvby8ePPmTRpPukKhoFGjRmla6MDXD16//vornTp1okKFCly/fp0lS5aoCldJpVIeP35MVFSUWmur06f2W06cOMHBgwfx9vamYMGC6Y5rEkItIiIiIiIiIvKz8a8TtkC23qN58+aRlJTE7Nmzs50rJ62AFAoFTZo0oVChQqp9EomErl27Eh4ejpubG2vWrMHExISVK1eSkpICfK2w3KBBA5WwDQgIIDQ0NMPKpXlFVn1qnZycuHHjBmvXrk13np6eHh07dsTf35/w8HAeP37M+vXrqVmzJhs2bKBNmzbo6+sjk8lYsGABV69e1aiqr1wup1atWpQqVQr4KvLXrVuHqakpS5YsYcaMGdy+fZs+ffqksVlZpffkyZNpWgHllbj18PDgzZs3eHl55cl8mlC4cGEWLFjA7t27OXnyZK7n+17UDh06NMMq1IUKFWL27Nncvn2bFi1aMGzYMBo0aMCFCxdUY5QfIDTx2n769Am5XM7kyZOpU6cOpUqVol+/fly8eJFu3bpx8OBB4uLiOHPmDK6urjRq1CjDVk3Ozs6UKFGCKVOmqPYVLlw4yz63eYWy4vrChQu5e/cuycnJBAUFpYk0iI+Px9bWFgsLC2JiYti3bx9yuRxzc/M0czVv3hxdXV217qGmojYpKQl7e3uaNWtGr169Mhxz584dHjx4IPavFREREREREflH8q8UtjKZjHv37mWaF1i6dGlmzpzJ8uXLVb07s0ITcZuUlMSpU6cy9XoUKFCAqVOnEhMTQ6dOnRg3bhx16tRRCRWZTEZQUBDx8fG4uLjQr18/jfpXakJWoha+epoHDx7M9OnTefPmTZZzlS1bliFDhrBx40aePn3KzZs38fT0RFdXl7lz52JtbU2pUqXo06cPa9as4f79+5nOJQiCqgcwfA3Hrl+/PiNGjKBVq1ZERUXh6uqa5sPBt8hkMs6fP09SUlKeits7d+7g6+vLlClTqFChQq7myin9+/enUaNG2eaJZ8f3onbChAmcOXOGpKSkTJ/dChUqsHXrVs6cOUNqaipNmjRhwIABPH78mNKlS6siEzIjNTWV0NBQ5s+fj1QqRV9fnzZt2rBx40Zq1qxJQEAAjx8/Jjw8HD8/Pzp27JjO6/k9QUFB7NmzBy8vLwoXLpzmWFZ9bvOSbyuuX7lyhbdv3yKTyUhOTmbFihWYmJiwbt06PDw8iIiIoEuXLhnmjRcuXJjGjRtnm6usqaiFrznHkZGR+Pv7Z5qznlUItYiIiIiIiIjIz86/Utja2NikCenNiEmTJlG5cmXs7e3V8sKqK26Dg4N5//59tl4PY2Nj/vjjD0JCQihUqBCtWrWiZ8+e1KhRgzdv3mBra8u7d+8yrFyaF2QnapV4enry6dMnVRsVdZBIJFhYWGBvb8+RI0eIj4/n1KlTjB07lgcPHjB27FgqV66MiYkJ48aNY8+ePWnCsiMiInj27Bm1atWif//+qpDfc+fOsWXLFsqXL5/l+lKplC9fvnD27Nk0fW5zK26dnJwoVaoUkydPzvEcuUWZJ37z5k1+//33HM2RkaiFr97WcuXKZVuFulmzZoSEhLB27VoUCgXVqlXDzc1N1c/229+Ne/fusWbNGnr37k2pUqWoW7cu7u7u5M+fH09PT27dusXTp0/ZuHEjgwcP1ii3Mzk5GTs7Oxo3bky/fv0yHPNXiNvChQvj5eXF3r17WbVqFUWLFuX9+/fUqVOH3377jc6dOxMTE8PkyZPJnz9/lnPJZDJOnjxJUlJShsdzImpfvXqFq6srI0eOxMrKKtNxcrmchg0bZvsxQURERERERETkZ+RfKWyLFStGgwYNsvQe5c+fH19fX+RyudpiRx1xq1Ao0NfXV+V8Zke9evW4cOGCqifm4MGD0dXVZdOmTUydOjVbEZcT1BW1AGXKlGH69OksWbKE27dv52i9fPnyYWNjg7u7O8HBwbx69Yo9e/Ygk8lQKBT06NGDEiVK0KBBA2bMmMGSJUvQ0tJi1KhRBAUFsW7dOkJCQtT2XFevXp0yZcqoPmzkhbgNDAxk3759eHt7Z+op/quoV68eQ4cOZcaMGenytLMjM1EL6lWhVqKtrc3w4cOJiYlh/PjxuLm5sX37dp48ecLixYsZN24cv/zyC1WqVGHs2LE8fPiQcePGcfr0aeLi4jh8+LCqVU9OWzKtWbOGW7duZemFhL9G3Pbt25cmTZqwfft2ChUqRJs2bShSpAghISGsW7eO0qVLqzWPTCYjISGBy5cvpzuWE1ELMGvWLFJTU3F3d890TEpKCkFBQWJ+rYiIiIiIiMg/ln+lsIX/hfQq81czomPHjshkMhwdHfn8+bNa82YnbuVyOa1atdKoWq5EImHAgAFERUXh7OxMUlISgiBQpkwZjfJS1UETUavE3t6e8uXLqyrO5hZ9fX26devG8uXLiYmJ4d69e6xatYrKlSuzePFiVq1aRWpqKsbGxkyaNIm6detqJH6UVXq/9djnRtwqPYNNmjShT58+Gl3rj8LDw4PPnz9r5EnPStQ+e/aMsLAwjfMr8+fPT/v27RkxYoTqd8jOzo7Dhw/Ttm1b9uzZw+vXrwkODsbNzY3mzZuTL18+jdbIiPj4eGbOnMnQoUOpW7dutuN/tLh9//49lSpV4tOnT7x9+5bNmzdz/vx56tWrp9E81tbWFC9ePF20SU5F7a1bt1i5ciWurq6qfPWM+DaEWkRERERERETkn8i/VthKpVLi4+O5evVqpmMkEgmLFi3i3r17LF68WO25MxO3b9++JSQkJMcvh0WKFKF58+Yq20aNGkXjxo25dOlSjub7npyIWviaF+zj48ORI0ey7cWbEypVqkSdOnV48uQJCQkJaGlp0axZM6pWrcrcuXOxtLTE2NiYgQMHsn79ep48eZLtnBlV6c2puF29ejXh4eHZegb/SoyNjZk+fTpLly7NtH3Ut2QlauGrRxrIVtgKgsDNmzdZuHAhv/76KwYGBrRs2ZJdu3bRrl07ypYtS+HChXn8+DFJSUk0adKE4sWL5/g6M2POnDl8/vwZDw8Ptc/5EeI2NTWVgIAAqlWrxo4dO4CvYr9du3Y5ela0tbVp1apVmmiTnIpaQRCws7OjatWqTJw4McuxCoWCokWLaizERURERERERER+Fv61wlbZ9iW7Qiw1a9bkt99+w83NjefPn6s9f0bi9tSpU6SkpORY2Co9g3Xq1EEQBBYsWEBiYiINGzZk8ODBPH36NEfzQs5FrZJu3brRsmVLHBwc+PLlS47t+J4XL14watQo6tatS1xcHAsXLiQ1NVUVJh4fH49cLmfIkCFERkYyfPhwypUrR40aNZg0aRIHDx7k3bt36eZVCjSlYFOiqbiNi4tj5syZDBs2DGtr6zy77rzAzs6OChUqZJsnnp2ohfRVqL9FWfF6wIABlC5dmlq1ajFjxgxSUlKYPXs2V69e5cWLF2zbto1x48YhkUjw9fVl586dmJiY4Ovrm6fPTEREBEuXLmXGjBmq9j7qkpfiNjg4mIYNGzJ06FCaNWvGoEGDKFOmDMnJycyZMyfH80qlUoKDg0lISMixqAXYv38/QUFBLFq0KFsvuVwuV7V5EhERERERERH5RyL8i+nYsaPQokWLbMe9fv1aMDAwEIYPHy4IgiCEhoYKgBAaGprtub6+vgIgTJkyRRg/frxQuXLlHNu7ZMkSQSKRCFeuXBHKlCkjODg4CMnJycLq1auFEiVKCIULFxbmzZsnfPr0SaN5Fy9eLACCk5OTkJqamu34zK7/xo0bgpaWluDr66vR+hnx+fNnwdvbW9DT0xP09fWFJUuWCElJScLMmTMFfX19ITk5OcPzYmNjhe3btwsjR44UKlasKACCjo6O0KRJE2H27NnCuXPnhC9fvgiCIAjm5ubCsGHDMpzny5cvQvfu3QVdXV3hwIEDmdo5ceJEQU9PT3j27Fmur1kQNHu21GHv3r0CIBw6dCjD46mpqYKjo6MACEuWLMl0TJkyZQRHR0dBEATh7du3wv79+4WJEycKZmZmAiBIJBLB2tpamDJliqBQKDJ9BoODgwVAOHfunBAbGyv89ttvgpaWlmBqaiocOnRIrecvK1JTU4U2bdoIVatWFRITE9MdV/f+vnv3TmjcuLFQtGhR4dKlSxrZ8PjxY2HgwIECIFhZWQlnzpwRBOF/z9uCBQsEbW1tITw8XKN5lcTExAiAsGPHDqFp06aCnp6ecOHCBbXOVV7/hQsXhCpVqgjt2rXL9p4nJCQIurq6mT4fIv8tAHETN3ETN3ETt59qU/v/sB/4/+Pfjr+/v5AvXz7h/fv32Y5dtmyZSlRqKj6U4tbAwEAYNWpUjmx99eqVoK+vL4wcOVIQBEEYMmSIYGlpqToeHx8vODg4CDo6OkKlSpWEXbt2qSUSNBW1gpC1OBg3bpxQrFgx4eXLl2peWVpSU1OFgwcPCiYmJoK2trYwYcIE4dWrV6rjjRo1Enr27Kn2XDExMcLy5cuF7t27C8WLFxcAQU9PT+jUqZPQokULwcjISEhJScnw/OzEbVhYmKCtrS14eXnl6FozIq+FbWpqqtC6dWvBxMRE+Pz5c7pj2YlaQRCE69evC4AwYMAAoXHjxoK2trYACJUqVRJGjRolbN++XYiNjVXLnuTkZKF48eLC7NmzVftu3rwptGrVSgCEdu3aCRERETm7WEEQDh48KADCvn37Mjyuyf3VVNx+/PhRcHNzEwoVKiSULFlSWLNmjeoDzNOnTwVA2LJli5CYmChUrVpVaNOmTY6EfGpqqlCxYkXB2NhYI1ErCP+7/gkTJgg6Ojpq3esjR44IgHD79m2NbRX59/F3v7yIm7iJm7iJm7h9v6mL5P//I/tXEhERQc2aNTl69Cjt2rXLcmxycjJWVlYUK1YMf39/6tatS2hoqNrVjWfNmsXcuXPp0qULe/fu1TjUd+LEiQQEBBATE4ORkRGbN29m4MCBPH/+HCMjI9W4qKgoHBwcOHLkCC1atMDf3x9LS8sM58xp+PHVq1extrbO8PpfvXqFiYkJffr0YeXKlRpdY2RkJPb29hw/fpzWrVvj5+eHubm56vjbt28xNDRk+fLljB49WqO54Wtl19DQUORyOXK5nPPnz5OcnEzp0qVp164dUqkUqVSa5n4mJSXRt29fDh48yO7du+nUqRMAgiDQtm1b7t69S3h4eLZtWtQlq3ubU27dukXt2rXx9vbGwcEBIMvwY0EQuH37NnK5HIVCwYkTJ/j8+TPFihVT3SOZTEaVKlVylCfao0cPXrx4wblz59KsuX//fhwdHXn48CETJkzA1dUVfX19tef98uUL5ubmVKhQAblcnqFtmt7fhIQE2rVrR1hYGHK5nPr166cbIwgCu3fvxsnJiadPnzJp0iRmzpxJsWLFVGM2bdrEoEGDePHiBaVKlWL//v107dqVgwcP0rFjR7WvEb7m1P7yyy/ExsZy7tw5jcKPlddfsGBBRo8ejZ+fX7bnODg4sHPnTh4+fPjT5JCL/H1IJBIK1B7/d5tB4vVlAD+FLfBz2SPakjE/ky3wc9mjtOVT0t//yl9Q9+v/Mz/TffkZbIGfy56fzRZ15eq/NscW/tf2Jau2P0p0dHTw8/Pj/PnznDhxQuO1KlWqBHzNa8uqz21GhIWFsWLFClxdXVWiq3Xr1kD6HNFq1apx+PBhjhw5wrNnz7CysmLcuHHExsamGZfbnNrMKFGiBLNnz2b16tVcv35drXPi4+OxtbXFwsKCmJgY9u3bh1wuTyNqAVWOsqaVeZVoa2tTv359pk+fzqlTp3jy5Ana2tpUr16d0NBQBg4cSOnSpbG0tMTR0ZFjx47x5cuXDHNuDx06hFwux9fXN89E7Y/CwsKCsWPHMmfOHF6+fJmhqH3+/DmbN29m6NChlC9fnho1auDk5ERCQgKVKlXC2tqa169fs2vXLsaOHUvVqlVz/Mwoc0S/zX2WSCR07dqV8PBw3NzcWLNmDSYmJqxcuTLLyuXfsmTJEu7cuYOfn1+ePc/Z5dxev36dli1b0qtXLywsLAgLC8PHxyeNqIX0OcqdO3dGKpVib2+vUX6xMqf27du3pKamUqFChRxdV758+Zg1a5ZaYxUKhdptnkREREREREREflb+1cJWIpEgk8myLSClpHXr1nTt2hV/f3+N15LL5dStWzfbPrffI/x/5dIqVaowadIk1f7SpUtjYWGRqe2//vort27dYuHChWzduhVTU1P8/f1JSkr6YaJWyW+//Ua1atWws7PL8hqTk5NZsWIFJiYmrFu3Dg8PDyIiIujSpUuGNsnlcqpUqUKVKlXyxM5SpUrRtGlT9PT0uHnzJs+ePWPTpk3UqVOHbdu2qar6tmnThlq1atGkSRO6d+/Onj17cHBwQCaTqTy4Pztz585FW1ub6dOnq0TtuHHjuHv3bpqq0teuXaNPnz4cPXqU+Ph4Tpw4wZMnT+jRo4dGLaqyQiaTkZKSwunTp9MdK1CgAFOnTiUmJoZOnToxbtw46tSpw8mTJ7Oc88WLF8ydO5dx48al+yCSWzISt7GxsYwZMwZra2tevHjB0aNHOXjwIKampunOFwRB1QNYSU4qrn9bKGrPnj1IJBK1Psp9S3h4OPD1d1Qdb/jz58+5deuW2OZHRERERERE5B/Pv1rYwlfv0fdtX7LCx8eHuLg4jdZITU1FoVCoPDSaiNsDBw4QGBiIr69vusqlyl6smc2hq6uLnZ0dMTEx9OnTBwcHB8qXL/9DRa1yXT8/P06fPs3u3bszHBMUFESdOnX47bff6Ny5MzExMUyePDlL76dcLs+xtzYzpFIpJ0+eVIUkDxgwgPXr1/P48WMiIiLw9vZGT08Pb29vTp06hUQioUePHty5cwd7e/s8teVHUrx4cYYNG8bvv//OwoUL0dLSYsWKFezYsQNra2s2bdrEs2fPuHHjBgsXLqRdu3YULlyYS5cu8f79+zy971WrVqVixYpZflAyNjbmjz/+ICQkhEKFCtGqVSt69OjBvXv3Mhw/Y8YMtLW1c1VtOCuU4rZmzZrY2NhQuXJlduzYwaJFi7h582aWqQyRkZE8e/Ys3T00Nzdn3LhxzJ07N9u/P99XP/7111+xsrLSSNgKgoC3tzfwtYq5OijnV0aIiIiIiIiIiIj8U/lPCFtIH9KbGVWrVmXAgAEAPHv2TK1zbt26RWxsrMrroa64/fz5M46OjrRt25YOHTqkOy6TyXjy5AlRUVFZrl+yZElWrlyJs7Oz6gU6MjKSmJgYtezPCW3btqVjx444OTnx6dMn1f67d+/SvXt3WrduTZEiRQgJCWHdunWULl06y/kePnxIdHR0nnuOZDIZCQkJ6UJMJRIJ1atXZ9KkSRw4cIC4uDjOnTunykUVBIH27dtTpUoVRo8ezY4dO3j9+nWe2pYbBEHgzz//ZMWKFfTo0QNDQ0N8fX0BKFSoEIsWLSIyMpJHjx7xxx9/qFr1fI9cLkdfXz/P8n3hf5ES6oiyevXqceHCBTZt2kRwcDDVq1dn+vTpvH//XjXm2rVrrF27lrlz52JoaJhndn7PuXPnePXqFYmJiSQlJbF9+3YmTZqErq5ulufJ5XLy5ctHs2bN0h2bM2cOurq6TJ8+PdPzM2vpo7yH6qY1bNmyhVu3bgGo7X1XKBSZtnkSEREREREREfkn8a8XtqVLl8bc3FztcGSA4cOHA19z+tRBLpdToEABGjdurNqnjrj19/fn/v37+Pr6ZuhZbd68Obq6umrZvmTJEhYsWICjoyM7d+4kPDycmjVr4uTkxNu3b9W6Dk1ZuHAhT58+xdfXl4SEBKZNm0b16tW5fPkymzdv5vz589SrV0+tuRQKBRKJhFatWuWpjdbW1hQrVizbe6irq0uTJk149+4d+vr6tG3bFm1tbczNzTl79ix9+vShZMmSWFtbM3XqVAIDA0lMTMxTW7Pj1atX7Nixg1GjRlG5cmVMTEyYOHEiz58/p0aNGgCMHTuWjx8/YmxsjJmZWbYee7lcTqtWrfIsDFmJTCYjMjKSx48fZztWIpEwYMAAoqKicHZ2xtfXF1NTUzZu3EhKSgq2trZUr16dsWPH5qmNSqKioujQoQPt27enXLlyXLhwgbp169KrVy+1+twqFAqaNm1KoUKF0h0zMDBgzpw5rFu3jqtXr6Y7nlWfWqlUyvPnzwkLC8vWhg8fPjBlyhRatmyZ7VglyhDqvI6SEBERERERERH5O/jXC1vQ3PNRuHBhAI4fP87Zs2ezHa9QKGjevDkFChRIsz8rcfv8+XPc3NwYP368SpRkZEfjxo2z9Xx9m1Pr7e1Nz549iYiIYPbs2aoc1zVr1qhdpEddTE1NmThxInPnzuWXX35h0aJFTJ06ldu3b9O/f3+NwqAVCgXW1tYYGBjkqY06Ojq0atVKLe9haGgo69atw83NjYMHD9KlSxeOHz+Ol5cXjx49Yt26dZiZmfHHH38glUrR19enTZs2eHl5ce3aNVJTU/PU9sTERBQKBVOmTMHa2ppSpUrRp08fzp8/T+fOnTlw4ACvX7+mUaNGXLx4kSVLlrBixQo6deqUzpOeEW/fviUkJOSH5Fe2atUKiUSidqQEQJEiRXBzcyMyMpKmTZsyePBgzMzMOHv2LH5+fujo6OSpjW/evMHBwQFzc3MiIiLYvXs3gYGBNGrUKMuCUt+SlJTEqVOnshSHY8eOpUaNGtja2qb5G5CVqAVo2rQpBQoUUOvZXbBgAa9evcLOzi77C/9/bt++zdOnT8X8WhEREREREZF/Bf8ZYfv48eNsQ3q/R/kympUgTExM5MyZM5m+HGYmbqdNm0b+/PmZPXt2trafPHmSpKSkDI9nViiqYMGCTJ8+nejoaNq1a8fo0aOpW7cuZ86cUePK1SM4OJiTJ0/y5csXChYsyO3bt5kzZ47qw4C6KHOUf9QLtkwmIzg4mISEhEzHCIKAra0tNWrUYMyYMejq6qaplnzt2jWGDh3K5s2bef78OTdu3GDevHloa2sze/Zs6tSpg5GREX379mXt2rU8ePBAYztTU1O5evUqXl5eyGQy9PX1kclkBAQEUL16df744w8ePXpEREQEixcvpmPHjri5uaVr6bNw4UKePXuGj49Pluspq1D/iPteokQJrKysNIqUUFKpUiV27NjBsWPHVPdx48aNPH36NE9sS0lJYfXq1ZiYmLB69Wrmzp1LZGQk3bt3V/3+ZFctWUlwcDDv37/P8h4qK66fO3eOHTt2ANmLWvhaaKtp06bZ3sP79+/j7e2No6Mj5cqVU/c2ZBlCLSIiIiIiIiLyT+M/IWyVIb2aVhh1dnbm2rVrrF+/PtMxFy9e5NOnT1l6bL4XtyEhIfzxxx+4ubllW7lUKpVmmCMK6rX0KVu2LBs2bODixYvky5cPGxsbevfunSPhpeTJkycMGjRI9TI+efJkHjx4kGPhcfPmTWJjY39YSKRUKiU5OTnDKr1Ktm/fzvnz5/H391d5Br8Xt8pWQBKJBEtLSxwcHFTVhU+ePMno0aO5d+8eo0ePplKlSpiamjJ+/Hj27t3LmzdvMlz3wYMH/P777/Tt2xcjIyOsra1VeZnz5s1LU815yJAhKuGSVZ9aExMT7Ozs8PT05NGjR5les0KhoHLlynlWhfp7pFKpRpES33Pp0iUEQcDd3Z2jR49iamqKh4dHrkLAT506hbW1NWPGjKF9+/ZER0fj4uKSLtoC1BO3CoUCfX19rKysslxXKpXSpUsXnJ2defnyZbaiVolMJuP06dNZtgyaPHky+vr6uLi4ZGlDRrY3adIkwxBqEREREREREZF/Gv8JYasM6dXUe2RpacmAAQOYNm1amp6c3yKXyylZsiSWlpZZzvWtuO3evTvm5uaMGjUqWxvq1q1L8eLF04lyTVv6NGzYkIsXLxIQEMC5c+cwMzPD1dWVDx8+ZGuDkk+fPuHu7o6pqSnHjx9nzZo1XL58GQ8PD6ysrLC1tc1ROK5CoaBgwYI0adJE43PV4ZdffsmySu/Hjx9xdnama9eu6arDZiZuvyV//vy0aNGCefPmcenSJV69esWuXbto3bo1x48fp3v37hgaGtKwYUP8/PwAmDdvHiYmJlSqVIkxY8Zw7949xowZw8mTJ4mLi+PIkSM4ODhgYWGR7meblahVMmPGDPT09Jg6dWqm9+X7FjV5jUwm48WLF2rliH7Po0ePmD9/Pg4ODkyfPp2YmBjGjBnDrFmzqF69Ort379ZIMN+/f59evXrRsmVLChQoQHBwMAEBAZQpUybL87ITt3K5nNatW6uVo+zj48OLFy+oV6+eWqIWvt7Djx8/cvHixQyPnz59mp07d7JgwQKKFCmSrQ1KlCHUYhiyiIiIiIiIyL+F/4Swhf+1fckspDcz5s+fz/v373F3d8/wuPLFVksr+1tpb2/PwIEDefLkCebm5mq9DGtra9OqVas0oiynfWq1tLQYPHgw0dHRODg44OXlRbVq1diyZUuWIkEQBHbt2kX16tWZO3cuv/32GzExMYwcORJtbW20tbXx9/fn8uXLbNq0SS1bvkUul9O8efMsWwHlBolEomqdlBHe3t68fPky09BddcTtt+jr69OjRw9WrFhBREQEW7dupV27dsTExLBx40YA9u7dy5cvXxg6dChnzpwhODgYd3d3WrRokeV9UEfUAhQtWhQPDw+2bNnChQsX0h1/9OgRUVFRP7RwkDJHNCfhyFOnTqVo0aKqasLFixdn4cKFhIWFUbNmTXr27EmrVq24efNmlvN8+PCBmTNnYmZmxoULF9iwYQMXLlygQYMGatuSmbjVNEe5dOnSlCpViocPH7Jhw4ZsRS1ArVq1KFGiRIb3MCUlBTs7O+rXr6+q5K4uly5dIiEhQSwcJSIiIiIiIvKv4T8jbJVtXy5fvqzReeXKlWPq1Kn4+fmla58TFxdHaGio2i+2Hz584NSpU1hYWLBt2za1+tzCV1EeHBzMu3fvcixqv6VIkSLMmzePiIgIGjRowIABA2jatGmG9+b69eu0bNmSXr16YWFhQVhYGN7e3hQrVizNuGbNmtG7d2+mTp2aZS7r9yQmJnL27Nkf/oKtrNL75MmTNPsfPnzIggULsLe3p2rVqpmer664FQSBW7dusWjRItq3b4++vj79+vXj0qVLSKVSlVCbMGECJiYmbN26laZNm1KmTBkGDRrEhg0bMg3pVlfUKhk6dCh16tTJ0JP+o6pQf4syR1TTFIDz58+zZcsWPDw8KFq0aJpj1apV49ChQxw5coRnz55hZWXFuHHjiI2NTTMuNTWVTZs2Ua1aNby9vXFyciIqKopBgwap9RHqezISt8ocZXWeXWVO7Zs3bzAwMFDl2maHlpYWrVu3zvAerlu3juvXr+Pv76/xNSlDqPOyzZOIiIiIiIiIyN/Jf0bY1q1bV622Lxnh5OSEsbExjo6OafYHBQUhCILaoszLy4uXL1+yb98+tfrcKpHJZKSkpODk5JRrUfstVapUYffu3QQFBZGQkED9+vUZNmyYSiTMmzcPa2trXrx4wdGjRzl48CCmpqZZXl98fDyenp5q23DhwgU+ffr0w0MilSHG3wuEKVOmUKxYsSz7jCrJTNw+efKEgIAABg4ciLGxMZaWlri4uJCUlISrqyuhoaG8fPmS7du30717d+Cr6FQoFMTHx3PixAkGDRpEeHg4Q4YMoWzZstSsWRM7OzsOHTpEQkKCxqIWUHnSr1y5woYNG9Ick8vlWFtb/9C+sPC/HNHPnz+rNT41NRVbW1usra0ZOnRopuN+/fVXbt26xcKFC9m6dSumpqb4+/urIjKGDx/OoEGDaNiwIZGRkbi7u2sUqpsR34vbTZs2UaVKlWxzlL8tFHXixAl8fHzYunUr586dU2tdqVTK5cuXiY+PV+178+YN06dPV12jpmgSQi0iIiIiIiIi8k/gPyNslSG9mnqP4GuFYR8fHw4ePMjx48dV+xUKBaamplSoUCHbOR48eICXlxeOjo5UqVJFrT63SqpWrYqBgQFr1qzJM1H7LS1btuTq1ausWLGCgwcP0qlTJ+Bru6NFixZx8+ZN2rVrl+08FStWZPLkySxcuJC7d++qtbYyR9nCwiJX15Adyiq93/78z549y7Zt2/D09ERPT0+teXR1dVmzZg1169ala9eulC9fnnLlyjF06FAiIiIYMmQIcrmc+Ph45HI5U6ZMoU6dOpl61AoWLIhMJsPLy4urV6/y8uVLtm3bRqNGjdi7dy+dOnXCwMCA8uXLs3DhQuzt7TXq59q0aVP69u3L1KlTVXniyirUf0UYqlQqzTJH9HsCAgIIDQ1Vywupq6uLnZ0dMTEx9OnTBwcHB9U1ffr0iZMnT7Jr1y4qV66c6+tQ8q243bNnT7a59RlVPx4yZAjW1tZq56TLZDJSU1M5deqUap+bmxsfP37U6COSknfv3qkiCERERERERERE/i38Z4QtqNf2JTN69uxJ8+bNsbe3V3mFNCm+k1HlUnXF7dKlS4mLi8PAwCDPRa0SHR0dKlasiL6+vur6ihYtSoUKFTTqHzp58mRKlSqFk5OTWuOVAisn4aGa8m0/49TUVOzs7Khbty6DBw/O8rykpCQuXLjAnDlzaNasGUZGRly8eJH8+fPz9OlTVaXbq1evsmDBAqRSKQULFsyRjSVLlqRPnz78/vvv3L9/n6ioKGxsbHjy5AkFCxZk0aJFGBoa0rVrV5YuXUpUVFS2Hv8FCxbw7t07PDw8ALh16xaxsbF/SeGg2rVrU6JECbU+KL179w4XFxf69eunUSExPT09KlasSL58+VS9e42MjLItDJVT9PT0+P3330lNTeX48eOZtgLKrKWPlpYWixcv5urVq1lWXFdSsWJFTExMVNEmUVFRLF68mGnTplG2bFmN7f+RbZ5ERERERERERP4u/lPCVtn25VvPh7pIJBL8/Py4ffs2K1eu5O7du9y9e1ctr8fZs2fZsWMH8+fPT+cZzE7cKnNqO3bsSFxcXLoc0bwgKiqKDh060L59e8qXL8+2bduAr/1Eu3XrhkwmU7uybeHChfHy8mLv3r0EBQVlOfb169ca5SjnFqlUyvPnzwkLC2P9+vVcvXo1Q8+gIAjcvn2bpUuX0qVLFwwNDWnSpAmLFi2iZMmSLF68mOjoaN68eUPXrl3x8/MjODj4h9i8evVqAgMDWbJkCe/evePixYs4OzsTHx+Pg4MDZmZmVKxYkeHDh7N161ZevnyZbo4KFSowefJkFi1axJ07d5DL5RQoUIDGjRv/EJu/RZkjqk4KgIeHB+/evWPBggVqzS0IAnv37qVGjRq4uroyduxY1Tr37t2jZs2aODk58fbt21xdQ0Yof94WFhYZVkvOrk9t48aN6d+/f5YV17/l2+Jnyn61Dg4OObJdLpf/0DZPIiIiIiIiIiJ/B/8pYats+5KTcGQAKysrRo4ciaurK/v27UNbW5uWLVtmeU5KSgq2trbUr1+fgQMHZjgmM3H7baGodevWIZFICAwMzJHtGfHmzRscHBwwNzcnIiKC3bt3ExgYiImJiWr9Q4cO8fDhQ2rVqsWECRN4/fp1tvP27duXxo0bY2dnR3JycqbjTp48qVGOcm5p2rQp+fPn59ChQ7i4uNC/f3+VuHvx4gVbtmxh2LBhVKhQgerVq+Pg4MDbt2+ZPHkywcHBvHr1ij179jBu3DhMTEzIly+fRtWSNSGjnFodHR0aNmzIjBkzOH36NHFxcRw+fJgePXpw+fJl+vfvj5GREbVr18bJyYnjx4/z8eNHIK0nXaFQ0Lx58wx7t/4IpFIpV65cSZMj+j1//vknixYtYsqUKZQvXz7bOW/duoVUKqV79+5Uq1ZNVbBLWdRs586dzJ49mxUrVmBiYsKaNWtISUnJs2uSy+XUrVsXhUKRrlpydqJWyfz583n37h3z5s3Ldj2ZTMaff/7J+vXrOXz4MD4+Pjn++SkUCtFbKyIiIiIiIvKv4z8lbCUSCTKZLEcFpJS4u7uTmprK8uXLqV+/frrqwN/zxx9/cO3aNfz8/LIMt/1e3C5evDhNoaiSJUtiZWWVK9uVpKSksHr1akxMTFi9ejVz584lMjKS7t27pwlzlkgkdOjQgbCwMLy8vNi4cSMmJiYsWbIky7ZJEokEf39/bt26xZo1azIdJ5fLqVatmlpCJi8oWLAgTZs2Zc2aNbx//5527drh5ORErVq1KF26NAMGDODKlSv06tWLI0eOEBcXx6lTp5gxYwYNGjTIMCRb01ZA6qBuoagiRYrQvn17Fi1axK1bt3j69CkbN26kVq1abNmyhXbt2qGvr0+rVq3w9/dn7Nix7Nu3j5MnT/6l+ZXKHNGTJ09mOsbJyQkjIyOcnZ2znOvVq1f89ttv1K5dm8ePH3P48GGOHj2KmZlZmnEFChRg+vTpREdH065dO0aPHk3dunU5c+ZMrq9HmaMsk8nSFZQ6deqUWqIWoHz58kydOpVFixalq7j+PS1btkRLS4upU6fSokULVREyTXn8+DG3b98Wha2IiIiIiIjIv47/lLCFr96jjNq+qEupUqWYOXMmd+7cybbg0du3b5k2bRoDBw5Uq2flt+LW1tYWR0fHNDm1UqlUlSOaU06dOoW1tTVjxoyhffv2REdH4+LikqX3J1++fDg6OhITE0PPnj2xtbWldu3aWYrsunXrMmzYMGbOnElcXFyGY+Ry+V8msFJSUrh8+TKfP3/m3r17JCYmMnjwYLZu3YqVlRUbN27k2bNn3Lp1C19fX3799Ve1q+jmpbjNSfVjJcbGxgwcOJCAgACePHlCeHg4Xl5eFC5cGA8PD2bMmIG2tjZfvnwhPj5e7QJfuaVixYr88ssvmT4vcrmc/fv34+3tTaFChTIck5SUxOLFizExMWHz5s34+Phw69Yt2rdvn+XaZcuWZcOGDVy8eJF8+fJhY2ND7969efDgQY6vR5mjrHx2leK2evXqSKVSrl69mq2oVaKsuJ5dTnrx4sUpX748L168wM/PL8d59so2T9lFmoiIiIiIiIiI/NP4zwnbzNq+aIKysM2VK1eyFJlubm58+PCB+fPnqz33t17B71txyGQyXrx4oXa+67fcv3+fXr160bJlSwoUKEBwcDABAQEaFdgpVaoUq1evJjQ0FENDQ9q0aUOXLl34888/Mxzv4eHB58+fmTNnTrpjd+/e5d69ez/Uc3Tnzh1WrVpFz549KVmyJPXr1+fChQsAjB49mvDwcB4/fsz69esZOHAgpUuXzvFaeSFucyNqv0cikVCjRg1sbW05ePAgr1+/5syZM5ibmwNfC0pVrVqVKlWqMGbMGHbt2pXpB4i8QFm463uSk5Oxt7enadOm9O7dO8Nzjx8/Tq1atbCzs6N3797ExMRgb29Pvnz51F6/YcOGXLx4kYCAAM6dO4eZmRmurq58+PBB42uRy+UULFgwTYEriUSCRCJBEAQkEonabXQKFSqEt7c3Bw4cyPJDUWxsLM+fP6dAgQK5qiD+V7V5EhERERERERH5q/nPCVtl25fchPSeOnWK/Pnzc/XqVfbv35/hmOjoaI0rl36bU7tw4UK8vLzS5Nw2bdqUAgUKaGT7hw8fmDlzJmZmZly4cIGNGzdy4cIFGjRooPYc32NlZcXp06fZvn07169fp0aNGkyZMiVdEZzSpUszc+ZMli1bRkRERJpjcrkcbW1tWrRokWM7vuf169fs3LmT0aNHU6VKFX755RfGjx/Ps2fPmDhxIgsXLiQ1NRU9PT0MDQ2pUaNGnlaYzo24zUtRmxH58uWjWbNm6OrqUrlyZYoWLcrGjRtp3749p0+fplevXpQoUYJ69erh4uJCUFAQiYmJeba+Mkf0/v37afavWrWKiIgI/P390/0sYmJi6NSpE+3ataNkyZKEhoayatUqSpUqlSMbtLS0GDx4MNHR0Tg4OODl5UW1atXYsmWLRlEQyhzl/PnzA//LqQ0PD1eJ8IwKSmVGr169aNasWZY56a6urujo6JCYmMj169fVtvVb/so2TyIiIiIiIiIifzX/OWELadu+5ASFQkHr1q1p164djo6OGQoAR0dHypQpo3bl0m9FrZeXFw4ODukKShUoUICmTZuq5W1OTU1l06ZNVKtWDW9vb5ycnIiKimLgwIF50lpHIpHQu3dvIiMjmTFjBkuWLMHU1JR169al6c1pa2tLpUqVsLe3T3O/FQqFWjnKWZGYmEhgYCAuLi7UrVuXkiVL0rt3b86cOUOHDh3Yv38/r1+/5vz588yYMYO1a9fSrFkzfv3111x57LMiJ+L2R4taJXFxcYSGhjJx4kRSUlIICQlh6dKl3L59mwcPHrB27VpMTExYu3YtrVu3xsDAgLZt2+Lj48P169fV6rmaGcoc0W/v++vXr5k5cybDhw+nTp06qv1v377F2dmZmjVrcuvWLXbu3MmpU6ewsrLK1fUrKVKkCPPmzSMiIoIGDRowYMAAmjZtyuXLl7M9NzExkTNnzqjE4feFoqRSaZqcW3XErTInPTIykpUrV6Y7fuPGDVavXs3s2bMpVKhQjp/dsLAwXr58KebXioiIiIiIiPwr+c8K25yG9H78+JFz587Rpk0bfH19efjwIX5+fmnGHDt2jEOHDuHj46NWP9PvRa3Sc5VRtWSZTMbp06f5/PlzpvOFhITQpEkTBg0aRMOGDYmMjMTd3V3tnFFNKFSoEK6urkRFRdG6dWtGjBhB/fr1OX/+PAD58+dn4cKFnDhxgsOHDwNf810DAwM1fsFOTU3l+vXreHt706ZNG/T19ZFKpaxbt45q1aqxdu1aHj58yO3bt1myZAmdO3dWCeeVK1cSGRmJv78/UqmUy5cvZ1mlNzdoIm7/KlELEBQUhCAI9OjRg5kzZ7J8+XLCw8OBry2Bhg0bxpYtW3j+/DnXr19n7ty5SCQSXF1dsbKyonTp0vTv359169bx6NEjjdYuXrw49erVSxNtMHv2bJKTk1VVgVNSUli7di2mpqYsX74cV1dXIiMj6dmz5w/p3VylShV2795NUFAQCQkJ1K9fn2HDhvHs2bNMz7lw4QKfPn1CJpNlWv34+4JS6ohbKysrRowYgaura5rK44IgYGdnh6mpKba2ttjY2OQ42kQZQv1XtHkSEREREREREfmr+U8K2yZNmpA/f/4ceT7OnTvHly9fkEqlVK9enQkTJuDu7s7Tp0+Br0Vu7O3tsbGxoUePHtnOl5moVfK9uG3dujUfP37k4sWL6eZ6+vQpQ4cOpUGDBnz8+JGTJ0+ya9cuKleurPF1akr58uXZvHkz586dA76GTffr14+HDx/SuXNnpFIp9vb2fPnyhatXrxIfH69WSOTDhw9Zu3Yt/fr1o3Tp0lhZWTFr1iy0tLRwd3fnxo0bPHv2jM2bNzNs2LAMKyy/evUKV1dXRo4ciZWVlapKb076GauLOuL2rxS18NVLbmpqSoUKFZg0aRKVK1dO50mHryG7tWrVwsnJiWPHjhEXF0dQUBAjR44kJiaGkSNHUqFCBapVq8aECRPYt2+fWr1ipVIpgYGBpKamEhYWxooVK3B1dcXIyIizZ89Sr149Ro4ciUwmIyoqihkzZqj1YSi3tGzZkqtXr7JixQoOHjyIqakpCxYsyPDjkUKhoGTJklSuXDnL6sc5Ebfu7u6kpKQwa9Ys1b49e/Zw6tQpFi1ahK6uLjKZjLNnz/Lp0yeNr1OhUNCsWbO/rM2TiIiIiIiIiMhfyX9S2BYsWJBmzZrlyPMhl8sxNjamRo0awNfct4IFCzJt2jQAli9fTnR0tFqVS7MTtUq+Fbc7duzAwMAgjShPTEzE09MTU1NTDh8+zMqVK7l69Wqe5q+qS5MmTQgJCWHdunWcPHkSMzMz5s6di4eHB/fu3WPx4sUoFAqKFClCw4YN053/5s0b9u3bx/jx46lWrRoVK1Zk1KhR3Llzh5EjRxIUFER8fDzHjh3D0dERS0vLbEOrZ82aRWpqKu7u7gBUqlQpyyq9eUVW4vavFrXw9dlVesnz58+Pr68vcrk823DpAgUK0LJlSzw8PLh8+TKvXr1i586dtGjRgqNHj9KtWzcMDQ1p3Lgxrq6unD17li9fvqSbRyaT8fr1a65du4a9vT1VqlSha9eu9O3bl+bNm6Otrc358+fZtGkT5cqV+yH3IDN0dHQYO3YsMTExjBgxghkzZlCjRg327duXRvjL5XJatGhBhw4dsm3po6m4NTIywtXVlRUrVhAWFkZiYiJOTk506NCBdu3aAV/v4efPn1UREery+fNnTp8+LYYhi4iIiIiIiPxr+U8KW/jqPcoupDcjlC1qlCJUX18fNzc3AgICkMvlzJ49m1GjRlG7du0s51FX1CpRilsvLy9KlSrFiRMnEASBvXv3UqNGDVxdXRk9ejQxMTGMGTNG7aqsPwItLS2GDRtGdHQ0kyZNwsPDgx49eiCVSpk7dy6HDx+mRYsW6Orq8uXLF86cOYOrqyuNGjXC0NCQbt26cfz4cVq2bMmuXbt49eoVISEheHh40LJlS1XRHnW4desWK1euxNXVNU3RIWXrpB/N9+JW2UfVz8/vLxW1d+/e5e7du2m85B07dkQmk+Ho6KjR74GBgQE9e/Zk1apV3Llzhzt37rB8+XLKli3L0qVLad68OYaGhnTs2BF/f3/Cw8MRBIFGjRpRqFAh1ceNunXrYmFhwenTp1m/fj2XLl3628Nk9fX18fPz4+bNm5iYmNCtWzdkMhlhYWGqHOVr166p1acWNBe3EydOpGrVqtjZ2bFw4UIeP37MwoULVcdr1qxJ6dKlNf4oowyhFgtHiYiIiIiIiPxb+c8KW5lMxsePHwkODlb7nJcvX3Ljxo10Xo9Ro0ZhaWnJoEGDSE1Nxc3NLct5NBW1SpTi9vbt21y+fJnmzZvTvXt3qlWrpuq/Wrx4cbWv50dTtGhR5s+fT3h4OHXq1OH48eN8+vSJ8+fPo6OjQ4cOHTAwMMDGxoZly5ZRvnx5VqxYwd27d/nzzz9ZuXIlPXr0wMDAIEfrK/MTq1atysSJE9Mck8lkxMTE5Kqfqbp8K26dnZ0B2LRp018mauFrGKqWllaa/qUSiYRFixapPOk5pUqVKowePZqdO3cSGxvL5cuXmTZtGp8+fWLy5MmYm5tTtmxZRo4cSdWqVdm6dSv58+dn165d2NnZER0dzZAhQ/KkqFleUb16dY4ePcqhQ4d4+PAhtWrVok+fPgiCwLNnz9TuUwuaidt8+fLh6+tLYGAgbm5uTJo0iWrVqqmOSySSHH2UUYZQW1paanSeiIiIiIiIiMg/hZ/nTfIvpnbt2hgaGmrk+QgMDAT+1wtXiba2NhMnTuTFixd06tSJkiVLZjpHTkWtkkGDBmFtbQ3AtWvXOHToEEePHsXMzEyjef5KChUqRPfu3ZFKpaSkpACwf/9+3r17x4wZM7hy5QovX75kx44djB49Os9ygvfv309QUBCLFi1K1/NUWaX3R4cjK9HV1WXr1q0YGxsD0L17979M1MLXSIOMqlDXrFmT3377DTc3N54/f57rdbS1talbty4uLi4EBgYSHx/P8ePHGTBgAJcuXeLWrVskJSWhra2tqkb8IwpD5QUSiYQOHToQFhaGm5ub6vd/9OjR1K1bV6O5NBG3HTp0oEyZMiQlJTF58uR0x6VSKdeuXePVq1dqr6+MNPmZPh6IiIiIiIiIiOQl/9m3HC0tLVq3bq2R50OhUFCzZk3KlCmTZr8gCGzZsoUiRYpw8uRJ3r9/n+H5uRG1SUlJLF68GBMTE2JiYihcuDAfPnzg7NmzOW5b9KNISEjg8OHD2NnZqbx1Q4YM4dWrV1hZWSGRSNDS0uLGjRtoa2tjbm6e56HTiYmJODo60q5dO9q3b5/uuL6+PnXr1v1LwpHh6zMybdo0VTXhAwcOaNTnNjekpKQQFBSUaX7l7Nmz0dXVZfr06Xm+dqFChbC0tOT169dER0er9jdr1ozAwEA6duyo8tq7ubkRHBycaS/Xv4svX75w9OhRBEGgUqVK+Pn5Ubt2bY0/iqgrbi9duqQqRrd+/fp0x6VSKYIgEBQUpNa68fHxXLlyRQxDFhEREREREflX858VtvA1HFXdti+CIKQpvvMte/fu5eTJkyxevJjXr1+zYMGCdGNyI2qPHz9OrVq1sLOzo3fv3sTExDB48GBKlCiRphXQ30VycjIXL17Ezc2N5s2bY2BgQMeOHdmzZw8NGjRg69atvHjxgmvXrpGSkkLr1q1JSUmhcePGuLi4YG5uzsGDB/P0Gvz8/Hj48CG+vr6Z3muZTKaq0vsj+bZQlNID17x5c7X73OaWa9euERcXl6mwNTAwwM3NjT/++IPQ0NA8W/fz5894eXlhamrK/v37adiwIQYGBhgZGVGrVi0ePHjA7du3WbRoEfr6+vj4+NCoUSNKlChBt27dVIXY/s5nW9nS59q1a8DX5yo0NBRDQ0PatGlDly5d+PPPP9WeLztxm5qaiq2tLbVr11ZVXP++/VDZsmWpUaOG2sJa2eZJFLYiIiIiIiIi/2b+08JWKpWSmprKyZMnsx0bHR3No0eP0r0cKj2D7du3Z9iwYTg5OeHj48P9+/dVY3IqaqOjo+nUqRPt2rWjZMmSXL16lVWrVlGqVCmkUimvXr1ixowZf7m4FQSBqKgoli1bRteuXVUVcX18fDA0NMTPz4+oqCgePHjA2rVr6du3L6VKleLFixfcuHGDIUOG0KVLFyIiIggODqZSpUp07tyZdu3aERERkWv7nj17xrx585gwYQLVq1fPdJzyHt64cSPXa2bG99WP+/TpA4CHh4dafW7zAoVCQeHChWnQoEGmY0aPHk3NmjWxtbXN9XMkCAIHDhygZs2aTJs2jWHDhrFjxw6Cg4Nxd3dHJpMhl8uRSCRUq1aN8ePHs2/fPl6/fs2FCxdwcHDg9evX2NraUq1aNSpVqsSIESPYtm0bsbGxubJNE77tUzt+/Hi0tbVp0aIFVlZWnD59mu3bt3P9+nVq1KjB5MmTeffunVrzZiVuN2/eTEhICP7+/syePZv8+fOrKq5/i1QqRS6Xq/WzksvlqjZPIiIiIiIiIiL/Vv7TwlbZ9kWdcFSFQoGOjg42NjZp9i9atIjHjx/j6+sLwNSpU9HX11d55nIiat++fYuzszPm5ubcunWLnTt3curUqTSVllu1aoWWlhYVK1ZM0+f2R4nbly9fsnXrVkaMGEHFihUxMzPDzs6OuLg4nJycuHjxIq9fv2bv3r2MHz8eU1PTdNeqDJ1s3bo1Pj4+PH/+nCNHjnDixAn279/PnTt3sLS0xNbWlri4uBzbOm3aNPLnz4+rq2uW45RVen9Unm1WLX3U6XObVyhb1HyfZ/wtOjo6+Pn5cf78ebZv357jtcLDw2nbti1dunShSpUq3Lx5Ez8/P1xdXTE3N2fUqFGZ5ojq6OjQqFEjXF1dOXPmDHFxcRw6dIhu3boRHBxMv379KFWqFFZWVkyePJkTJ07kqJ+rOnwrao8fP87du3fT5ChLJBJ69+5NZGQkM2bMYOnSpZiYmLBu3Tq1IgAyErfv379nypQp9OrVi+bNm6sqrq9fv57Lly+nOV8mk/HgwQPu3LmT7VoKhUJs8yMiIiIiIiLyr+c/LWzhf56P7JDL5TRq1IgiRYqo9j19+pR58+YxceJEVeXSIkWKsGDBAnbu3MmkSZM0ErUpKSmsXbsWU1NTli9fjqurK5GRkfTs2TPducWLF6devXrI5fI0fW7zUtxevHgRZ2dnrKysMDIyon///ly6dIkePXpw6NAh4uPjOXPmDDNnzqRhw4bo6OhkOZ9cLsfc3BxjY2N++eUX7O3tmT9/Po8fP6Zz586Eh4fj4eHBunXrMDExYfny5RrnW16+fJn169fj7u6Ovr5+lmPz589P8+bNf4iwVadP7V8hbj9+/Mi5c+fUCkNt3bo1Xbt2xdnZmY8fP2q0TlxcHBMnTqRWrVrcu3ePAwcOcPz4cWrUqMG2bdu4cOECfn5+6OjoqGxRFmPKDD09PTp06ICfnx/h4eE8efKEgIAALCws2LhxI23btkVfXx+pVMr8+fMJDQ3Nk7Dy70Vt/fr1CQwMzFAcFipUCFdXV6KiopBKpYwYMYL69eur1Wf2e3E7ceJE4uPj8fLyUo0ZNWoUFhYW6TzpNjY26OjoZPvs3rt3jzt37ohhyCIiIiIiIiL/foT/OLt37xYA4d69e6p9oaGhAiCEhoYKgiAISUlJQtGiRYW5c+emOXfw4MFCiRIlhPj4+DT7U1JShIoVKwqA4ODgIKSmpmZrx5kzZwQrKysBEAYMGCA8evQo23OmT58uGBoaCikpKYIgCIKvr68ACFOmTFFrzW9JTk4WLl++LHh6egr16tUTAAEQjI2NhUGDBgkbNmwQnj59qtGc35KamiqUK1dOsLOzU+17+/atYGRkJPTr1y/N2GfPngnDhw8XJBKJYG5uLigUCrXXaNiwoWBpaSkkJyerdc7ChQuF/PnzCx8/flT/YtSww9HRUQCEJUuWpDn2/bMlCILw5csXoXv37oKurq5w4MCBPLNDEATh+PHjAiCEhYWpNf7PP/8U8uXLJ8yaNUut8UlJScLSpUsFAwMDQU9PT/D29hYSExNVx9+/fy+UK1dO6NatW5rzqlevLowYMULt6/ie1NRU4datW8KiRYuE9u3bC4ULFxYAoVixYgIgTJ8+Xbh7967G8yYkJAhNmzYV9PT0hAsXLgiCIAiXL18WAOHMmTPZnn/u3DnB2tpaAIS+ffsKDx48yPacd+/eCXXq1BEAYfjw4emOBwYGCoCwefPmNPubNm0qdO/ePc2+75+v1atXC9ra2sKbN2+ytUNERBAE1d9+cRM3cRM3cRO3n2VT+/+wH/j/4z+CuLg4QUtLS1izZo1q3/cvhxcuXBAA4eLFi6oxwcHBAiCsWrUq3ZyLFy9W/SBWrlyZ5foPHjwQ+vTpIwBCvXr1VC/T6nDq1Kk0dgqCZuL2zp07wqpVq4SePXsKBgYGAiAULlxYaNq0qQAIO3bs0FggZ8bt27cFQDh8+HCa/evWrRMA4ezZs+nOuXz5stC4cWMBELp16ybcuXMnyzU2bdokAEJQUJDadt28eVMABLlcrvY5WZGVqBWEjIWtIPw4cevk5CQYGxtr9HOcOnWqUKBAgWxFmVwuF2rWrClIJBJhxIgRwvPnz9ONcXV1FfLly5fuZzdp0iShQoUKefZ8ff78WTh9+rQwYsQIARC0tLQEQKhataowZswYYdeuXUJcXFyWc2QkagVBEDw8PIQiRYoIX758UcuWlJQUYd26dYKRkZFQsGBBYfbs2cKHDx+yPKdTp05Cvnz5hKJFiwqXLl1Kd7x79+5C2bJlhffv36v2zZkzRyhevHiajzjfP1+9evUSGjVqpJbdIiKCIApbcRM3cRM3cfv5NnWR/P9/ZP9pGjRoQKVKlVS5hVevXsXa2prQ0FDq1KnD3Llz8fX15dWrV+jo6JCamkrjxo1JTEwkNDQ0Tauab3NqX758ydGjR4mOjqZ48eJp1vzw4QNeXl54eXlRvHhx5s+fz6BBgzTqM/n582cMDAxwdXVlypQpqv2LFi3CwcGBKVOm4OnpqQpjjouLIygoCIVCgVwu5+7du2hra1O/fn2kUikymYwGDRoQFhaW5vrzgqVLl+Lg4EBcXFyacO7U1FTq168PQEhISLrrFwSBbdu2MXnyZF6+fImDgwPTpk1DT08vzbgPHz5QrVo1GjZsyK5du9S2SxAEjI2NGTp0KPPnz8/FFaJW+PH3z9a3JCUl0bdvXw4ePMju3bvp1KlTruwBsLKywsLCgg0bNqh9TkJCAqamprRo0YKtW7emO37nzh0cHR3Zv38/TZs2xd/fP8Pn5MGDB5iZmWFvb4+Hh0eaYwcPHqRz585ER0djYmKi+YVlgvL+njp1ivj4eORyOQqFgujoaLS0tLC2tkYmkyGVSmncuDH58+cH0ocfN2rUSDVn69atKViwIIcOHdLIlnfv3uHh4cGiRYswMjLCy8uLPn36pEsrOHnyJK1ateL3339n3bp1hIWFqfoOK7l7966qSNXcuXMBuHDhAk2aNCE4OFhVGOzb56tWrVqUKlWK8ePHq84REckOiURCgdrj/24zSLy+DOCnsAV+LntEWzLmZ7IFfi57fkZbPiX9/fKjoO7X/49/hvsCP+fP6WexRV25+p/PsYXs274oFApatmypyiHdsmULly5dwt/fP1NR6+XlhaenJx8/fsTNzU01RhAEtm7dipmZGfPnz8fOzo7o6GiGDBmikaiFrzmiNjY26YpffZtz279/f1xcXKhXrx4lSpSgV69enDx5kl9//ZW9e/eqKtHOnTuXZs2aZVlgKDcoFIp0OcrwtZ+wv78/oaGhBAQEpDtPIpHQr18/bt++jYuLC35+fpiamhIQEJDm57VgwQJevXqFt7e3RnZJJBK186yzQh1Rmx15nXP78uVLrl+/rnHhID09PTw9Pdm2bRtnz55V7U9ISGDq1KnUqFGDq1evsm3bNs6cOZPpx48pU6ZQvHhxXFxc0h1r0aIFOjo6P6yPsJ6eHl27dmXZsmVERUVx//59Vq9eTdWqVVm9ejWtWrVCX1+fdu3a4eHhQfPmzbl+/Xo6UavMUc5J8aWiRYsyf/58wsPDqVOnDv369aNZs2ZpWiolJydjZ2dHo0aNGD58eKbVkqtUqYKDgwPe3t48ePAAgPr166Onp5fpPbx+/XqWbZ5ERERERERERP5NiMKWrwWkXr9+zfXr19MdS0hI4OLFi6riK8rKpT179kxTITmj6sdlypRh2rRpLF68mKioKEJDQ2nWrBn9+/enXr16RERE4Onpmc77qAkymYyzZ8/y6dMnUlNTuXHjBj4+Phw/flwllPz9/alatSq///47Dx48ICoqiqVLl9K1a1dVldcfSXJyMidPnsz0BbtJkyb069cPFxeXTFumFC5cmNmzZ3P79m1sbGwYOnQoDRs25OLFi9y/fx9vb28cHR2pXLmyxvZlVqVXXfJC1CrJS3GrLM7UunVrjc8dPHgwdevWxdbWlqSkJNavX4+pqSmLFy9m2rRp3L59O0Pvo5KzZ8+yfft25s+fn+HzraenR8OGDX9YRervqVixIiNGjFD1VL569Spz5swhKSmJmTNncu3aNXR1dVm6dCl//PEHjx8/Vl3Hly9fciUOf/nlF/bt24dcLufNmzfUq1ePkSNH8uLFC37//Xdu3ryJv78/Eokky1ZALi4uaSqu6+jo0LJly0zvoVwuz7bNk4iIiIiIiIjIvwVR2PK/ti8ZeT7OnDlDcnKy6sV2/vz5vH79Oo1nMKuWPg4ODhgbGyOVSqlXrx5v375FoVCwZ88eqlatmmvbzc3N+fz5Mx06dMDY2JjatWszc+ZMBEHAw8MDR0dHPn36RKVKlRg2bNjf0ssyJCSEd+/eZVmZdcGCBbx794558+ZlOVfFihVVnsLk5GQaN26MjY0NRYsWzdAzqA4ymQxBEFTtiDQhL0WtkrwStwqFgpo1a1KmTBmNz9XS0mLx4sVcu3YNExMThg0bRosWLbh9+zazZs2iUKFCmZ6bkpKCra0t9erVY9CgQZmOk0qlBAUFaVz5OrdoaWlhZWXFuHHj+PLlC4UKFWLx4sWMGTOGqKgoRowYQfny5TEzM8PFxQUDAwPKli2b63WlUinXr19nyZIl7Nmzh19++QVHR0cGDRpEvXr1VOMyE7d6enrMnz+fHTt2cObMGeDrs3vhwgU+fPiQbj2FQpFtmycRERERERERkX8LorDlfyG9GXk+5HI5FSpUwMTEhHv37uHj44OzszOVKlUCsha1nz9/ZvHixcTGxvL48WPGjRvHtWvXcuRBU/L27Vv279/PxIkTMTMzo02bNgBERkYyfPhwAgMDiY+P5/jx4zg5OeHj4/OX9LnNCoVCQbFixahbt26mY8qXL8/UqVNZtGgRMTEx2c7ZrFkzLl++jLOzMw8fPuTNmzf4+fnlqK9p2bJlqV69usbewx8hapXkVtwKgoBcLs+xp/Hx48csXboUgCdPnnDs2DG2bt2q1oeRP/74g2vXruHv759leL1MJuPt27dpQnP/Kr7NqT1x4gQTJ07E09OTK1eu8PLlS3bs2EHz5s0JDw8nLi4OQ0NDmjRpwuzZszl37hxJSUk5WldHR4fx48cTExND1apVVaHOBw8eTPO7mZm4HThwIPXr18fW1paUlBRkMhlJSUkqoaskMTExxyHUIiIiIiIiIiL/RERh+/9IpVJVSO+3KBQKpFIpEokEZ2dnSpQowdSpU4HMRa0gCOzfv5+aNWsybdo0Ro0aRdOmTQkMDNRYWCYlJXHu3DlmzZpF48aNMTQ0pGvXrhw+fBgbGxt27NhBz549MTY2xtPTk1atWlGgQIE0c/yoPrfqIpfL0+QoZ4aTkxPGxsY4OTlpNLe1tTUTJ05k7ty5VK9enV27dml8jco8W3XP+5GiVkluxG1MTAyPHj3SuH/pp0+fcHNzo1q1aigUCry9vcmXL1+2PWeVvH37lmnTpjFw4MA0uaoZUa9ePfT09P6ycGQlWRWKAlS56O7u7nz58gVvb2+WLl2KsbEx/v7+NGvWDAMDAzp16sTixYuJjIzU+Hl7+fIl4eHh2NvbU7VqVTp37ky7du2IiIhQjclI3Cpz0q9fv866deswNTWlXLly6aJNrl+/zufPn8X+tSIiIiIiIiL/GURh+//IZDI+f/7M+fPnVftiY2MJDw9HJpNx6tQpdu/ezfz58ylcuHCmojY8PJw2bdrQtWtXqlatys2bN1m8eDHLli0jJiaGZcuWZWmHIAhERETg7+9Pp06dMDAwoFmzZixZsoQyZcqwbNky7ty5w927d1m1ahW9evWiY8eO2eaI/l3iNiEhgeDgYLU8R4UKFcLLy4sDBw6oJXbWrVvH9evXWbZsGT4+PoSFhWFhYUGvXr1o0aJFhjnTmSGTyXjw4AF37tzJduxfIWqV5FTcyuVydHR00uSBZ4UgCOzYsQMzMzPc3NxUXkUnJyemTp2Kn5+fWp50d3d3Pnz4oFaFaV1dXVq2bPnDCkhlRHai9luUYn7AgAGMHTuWXbt28erVK0JCQnBxceH9+/c4OTlRo0YNypcvz9ChQ9m0aRPPnz/P0gZBELC3t6dChQp4enpy4sQJ9u/fz507d7C0tGTSpEnExcUBGYvbhg0bMnDgQKZPn867d++QyWTpfl8uXbqEsbExNWrUyOUdExERERERERH5ZyAK2//H3NwcIyOjNC+Ily5dAsDGxgZbW1saNmxI//79MxS1cXFxTJw4kVq1anH//n0OHjzIsWPHVC+WlpaWjB49mtmzZxMbG5tm7WfPnrFp0yaGDBlCuXLlqFmzJpMnT+bDhw9MmzaNkJAQYmNj2bVrF2PGjKFKlSppzld6ZbLzqv0d4vb06dNpcpSzo3fv3jRt2hQ7O7sscy/fvHnD9OnTGTRokKo4jqmpqeq+x8bGUqdOHcaMGZPufmeEjY0N2tra2Qrqv1LUKsmJuJXL5RlWoc6Ia9euYWNjQ58+fahduzbh4eF4eXlRtGhR4H+edEdHxyzniY6Oxt/fHxcXF7VzUpU5ou/fv1drfG7QRNTC13tobm6OsbGxap+2tjb16tVj2rRpnDx5kvj4eI4ePUrfvn25du0agwYNwtjYGEtLSxwcHDh69Gi6/NcjR45w/PhxFi5cSP78+ZFIJHTu3Jnw8HA8PT1Zv349JiYmLF++nOTk5AzF7fz58/nw4QNubm5IpVJu3bqVRlAHBwerIk1ERERERERERP4LiML2/1G2ffnWe3Tp0iVq167NgQMHVJVLly1blkbUpqSksGzZMkxMTAgICGD+/PmEhYXRsWPHdC+Vc+fORSKRMHXqVI4cOYK9vT0WFhaUKVOGQYMGcePGDfr168exY8eIj48nKChI1arn27ZC36PMEVXH8/VXi1uFQkGFChX45Zdf1BovkUjw9/cnMjKSlStXZjrOzc2Njx8/4unpme5Y27ZtuXHjBn5+fuzYsQMTExN8fX358uVLpvMVLVqUhg0bZnkP/w5Rq0QTcZtdFWolL1++ZNSoUVhbW/P69WuOHz/O/v370/WVLViwID4+Phw8eJDjx49nOp+joyNlypTJVgB/i1QqJSkpKU1boR+BpqJWEARVGkJWFC5cmHbt2uHj48ONGzd4/vw5mzdvxtramh07dtC+fXv09fVp0aIF7u7unDt3Djs7O1q3bk2XLl3SzJU/f36cnZ2Jjo6ma9euTJgwASsrKwIDA9OJ2ydPnjBt2jT8/f1V+f7fftiKjo4W82tFRERERERE/lOIwvYbZDIZ165dIz4+HvhazbdZs2ZMnz6dIUOGcOnSpTSiNjAwkNq1azNx4kS6deumCt3Mnz9/mnmTk5O5dOkSq1atwtDQkHXr1tGhQwd27dpFvXr12LJlC8+fP+f69ev4+PjQtm3bLKvOZma7ujmif6W4VRYw0sRzVKdOHUaMGIGrqyuvX79OdzwqKkrVdiYzz6Curi6TJk0iJiaG/v374+zsjIWFBUeOHMl0XZlMRlBQECkpKemO/Z2iVom64vby5cuqENWM+PLlCwsXLsTExITdu3ercjaVhcgyomfPnjRv3hx7e/sMCycdO3aMQ4cO4ePjQ8GCBdW+pmrVqlGuXLkfmmerqaiFr8Lw0aNHGotDIyMj+vfvzx9//MGjR4+IjIzE19eXYsWK4eXlRbNmzfjzzz8BWLlyJX/++We637/SpUuzdu1aQkJCKFq0KFKplO7duxMbG5tG3DZr1oxy5crh4eFBrVq10t1DMb9WRERERERE5L+EKGy/QSqVIggCly9fBuDVq1c8fvyYz58/88svv6hE7ejRo+nWrRsymQx9fX2uXLnC77//jpGREfBVBMXExLB8+XK6d+9OiRIlaNiwId7e3tSoUQMjIyPq16/PgwcPWLduHf369VOdmxvbHzx4oHppzo6/Qtw+efKEiIiIHL1gu7u7k5KSwqxZs9Idc3R0pFy5cjg4OGQ7T4kSJVi+fDnXr1+nbNmydOjQgfbt23P79u10Y6VSKW/evElXpfdnELVK1BG3mVWhFgSBw4cPY25uzuTJkxk0aBAxMTFMnDgRXV3dLNdVetJv376dzpOelJSEvb09NjY29OjRQ6PrUUZK/ChhmxNRC1/voa6uLs2bN8/x2hKJBDMzMyZMmMD+/fuJjIykUKFC1KtXj8+fPzNp0iRMTEyoXLkyo0aNYvv27Wny5OvWrcu5c+fYsmULly9fpnr16nh4eLBz507Mzc3p1KkTY8aM4fDhw1StWhWFQqH6Pa5SpUqaEGoRERERERERkX87orD9BmVIrzK3VkdHhwMHDtCiRQtmzpzJpEmT0NLSwtzcnKtXr6r6qdapU4fY2Fi2b9/OyJEjqVSpEqamptja2hIbG4uDgwPnz5/n9evXHDhwgPXr1xMSEsLevXvzzPYWLVqgo6OjUSGeHy1ulaGROWlvZGRkxMyZM1m5ciVhYWGq/UePHuXw4cP4+Pikq/6cFRYWFgQGBrJnzx5u376NhYUF9vb2vHnzRjWmfv366ar0/kyiVkl24jajKtSRkZG0b9+ejh07Ur58ea5fv87SpUsxNDRUe93atWszcuRIXF1d0wiwFStWEBUVhZ+fX45yOmUyGWFhYdkWXdKUnIpa0CxHWV3mzJlD/vz5OXr0KGfPnlX9PejSpQvnz5+nb9++lCxZkjp16jBlyhQUCgWJiYn069eP27dv4+Ligp+fH9bW1gwaNIiaNWvi6emJlZUVly9f5smTJ9y7dw+Ahg0b5pndIiIiIiIiIiL/BERh+w2pqQJmbQcSWrwZZceto1Q/D0pYt+PQocO0a9eO7du3s2TJEqZNm8a1a9cwMDBgypQp1KlTh1KlStG3b18uXrxI165dOXjwIHFxcZw9exZXV1caN26sEhrt2rWjQ4cOODk55ajvakbo6enRsGFDjT1fP1LcyuVyrKysKFmyZI7OnzRpElWqVMHOzg5BEFSewRYtWtC9e3eN55NIJHTr1o2IiAjmzp3LmjVrMDExYdWqVaSkpKCrq0uLFi1U9/BnFLVKMhO3CQkJXLx4UeUlj4+Px87ODgsLC6Kjo9m7dy8KhQILC4screvu7k5qaqrKk/7q1StmzZrFqFGjqF27do7mVH74yMvqyB8/fsyxqFU3R1kTrl27xu+//86cOXNUHxOKFi1Kp06d8Pf3JyIigkePHrF+/Xpq1KhBQEAAMpkMAwMDZDIZS5cupXPnzkRGRmJjY8O4ceP4/PkzFStWJCYmhsePn1CkZgvcL76n7Lh13K/alf3Xn5Ca+tf3rRYRERERERER+TsQhe3/k5oqYLf9GlcL1EJS6hd0ipVCx7gaBVqNo1yv6Rw7dpxatWpha2vL2bNnKVu2LG3atGHjxo3UrFmTgIAAHj9+THh4OP7+/nTs2BE9Pb1M1/P19eXx48f4+vrm2TVIpdJMc0Sz4keIW3WL72RFvnz58PX1JTAwkAMHDqhaJuXUM6ikQIECuLi4EB0dTYcOHRg7dizW1tacOnUqTZXen1XUKslI3J45c4bk5GRatmzJypUrMTExYe3atcybN4+IiAi6du2aq3tXqlQpZs2axcqVK7l16xaurq4IgoC7u3uO5zQyMsLS0jJPhe3EiRNzJGrhfznKeZWjKggCtra2VK9enbFjx2Y6rly5cgwZMoRNmzbx7Nkzbt68iYeHB7q6usydOxdra2vq1q2LIAhMnjyZxMREbt26RYECBSnR2QnDTk680TFEp1gpniYVwnb7dex2XBfFrYiIiIiIiMh/Ap3sh/w3OHjzKQduPgNAoqWd5l/tqg0xrNOGEyeOc/78eWxsbPD09EQmk1GzZs0cCQVlqLKHhwdDhw5Vuz1KVshkMmbPns2VK1dULXDUxd7eHgAHB4c8CQkNDw/n+fPnufZ6dejQgbZt22Jra0t8fDyjR4+mVq1aubYPoEyZMqxfv57ffvsNW1tbWrZsSZs2bUhKSmLIkCHs2bPnpxW1SpTitm/fvvTo0YN27dpRqlQp+vTpQ1hYGEOHDsXDwyNP8y0nTJjAqlWrGDlyJJcvX2bhwoU59sorkclkbN26FUEQciW8P378CHwt/qRQKDQWtfA10iCjHOWcsnPnTs6ePcuJEyeyzWVWIpFIsLCwUIXMf/78meDgYORyOQqFgl27dpGamkqpUqX4YmxBser/nwus9fVbpVLKHrjxlNZmpehSO/d/X0REREREREREfmZEYfv/bAl5iJYEMnRupKZSrkVfPMf2wNLSUvVy+uXLF65du5bjNTt16sTatWsZPXo0bm5uOZ5HiY6ODoUKFSIgIEDtF+hvsbGxwcHBQeVFjoyMzLEtmzdvRldXl8KFC3P16tUczwMwatQoevbsSb58+ejZs2eu5/seHR0dlixZwrFjx/D39wdgz5492NnZ0bhx4zxdT3lPc3NvM2LKlCk8e/ZMFZJsZGTEhg0bqFmzJs+ePePZs2d5ut5vv/2GnZ0dJUqUyJN7VKlSJZ4+fcru3bvT9WlWl48fPzJixAgAnJ2dyZ8/f47s2rdvH1ZWVty8eTNHdnxLYmIitra2NG/eHENDw1zdJz09Pbp370737t159+4dV65c4dKlS1wq0gghNUX1Ie5btCRf/7aJwlZERERERETk345E+NGNTP8hNFkQyJM3iZkeT377kicrhv+FFomIiIhkT9lx69ApVirz48ULcn5Kq7/QIpF/MhKJhAK1x//dZpB4fRnAT2EL/Fz2iLZkzM9kC/xc9vyMtnxK+vvlR0HdrxFiP8N9gZ/z5/Sz2KKuXBU9tv9POf1CPHubmKHHVkhNgQ9f+6lqa2tjaWlJ/fr1adiwITVq1EhTfVZTUlJSGDhwILq6uqxfvx4trdylPW/fvh1fX19OnjypcS9cJZGRkQwcOBCAIUOGMHHiRI3CQ5OSkmjRogWjRo1i6NChObJBiSAIjBkzhpcvX/Lu3TuaN2/O7NmzczVnZuv4+fmxadMmOnTowOHDh2nWrBlnz57FwsICJycnzM3Nc72O8t5u2rSJ6tWr52qu1NRUjhw5wpIlS3j37h0NGzbkzJkzNG3alODgYLy9vXPVriYzPn/+TM+ePTEyMuLmzZuMGzeOYcOG5XreMWPGULBgQfz8/DQ67+PHj0ycOJHo6GicnZ2ZM2dOju/vmTNnsLe3Z+/evVSoUEHj87/l+fPndO/enT59+mBra5uruT58+EBoaCiXLl0iJCSEu3fvAlCyZElS3r1EW88wU49tOX31+wqLiIiIiIiIiPxTEYXt/9O/fgUu3YvL8JhES5v4ywdp0aIFzZs35+bNm2zdupVVq1ZRtGhRWrZsiVQqRSaTYWpqqnGO4Jo1a7CxsSEiIoLBgwfn6joKFSqEl5cXCQkJNG3aNFdzKcOSS5cujaenp9rXdebMGRITExkyZAh16tTJlQ27d+8mNDSUo0ePcu/ePX777TdmzpxJvXr1cjXvtyirH2/atIklS5bQq1cvSpcuzZgxY3Bzc8PW1pYhQ4YwePBgPD09KVOmTK7XrF69eq7uTXBwMLa2toSEhNC7d2+8vLyYOXMmtWvXJigoiL59+zJ58mR2795Np06dcm3vt3h6evLy5UsCAwNZtWoVa9aswcXFJdf3pVu3bnh6emJhYaF2KL2ypc+dO3dQKBTkz5+fOXPm5Pj+btiwgQoVKtClS5dc5foCDBgwgGLFirFkyRKKFi2q0bnJycmEhISocmqDg4NJTk6mQoUKyGQyevXqxZ49e/jzzz8pFXMWSfmMP7qkCl//tomIiIiIiIiI/NsRqyL/P50sy9C51tcXc63/f59V/vs+/BSNy+Xn3r17eHp6UrVqVe7evcvFixdxcnIiPj4eBwcHzMzMqFixIsOHD2fr1q28fPlSrbWbN29O7969mTp1KgkJCbm6jmrVqlGuXDmN2/5kxIABA3JULVkul2NgYICVlVWu1v/06RNOTk506NCBdu3aMWrUKCwsLLC1tc2ztkQZtfQxMjLCwsICuVyOjY0NoaGhrFq1iiNHjmBqaoqnpyeJiZmHrf9Injx5wuDBg2nUqBFfvnzh9OnTbN++nQoVKqiqUGfX5zY3PH36lHnz5jFx4kTMzMxwdXWlYMGCTJs2Lddzy2Qy3r9/r+ojnR256VObGXK5HJlMlmtRe/78ebZs2YKnp6daolYQBKKioli6dCldunTB0NCQJk2asGjRIkqWLIm/vz/R0dEcP36cZ8+esWDBAkqVKoWZmRnJdy7RvMJXr+z3f7s61ypDJ8vcf4gREREREREREfnZEYXt/6OlJcGvd238+9SmXiUDyhYvSL1KBvj3qc2CLtUJVCiQyWS4urqyYsUKqlevTlhYGNOmTeP06dPExcVx+PBhevToQUhICP3798fIyIjatWvj7OzM8ePHVRVbM8LLy4v4+Hg8PT1zdR0SiQSpVJonwhZy1gpILpfTunXrXIdVf98SSUdHBz8/Py5evMjWrVtzNTdk3adWJpOhUCgQBAFtbW1Gjx5NTEwMo0ePxtXVlRo1arB379487fubFYmJiXh4eFCtWjWOHTvG6tWruXLliirUOCIigmfPnqmqUP8ocevi4kLBggVxdXUFQF9fH3d3dwICAggJCcnV3HXq1EFfX1+tZ/dHiNqnT58SERGR6zY/qamp2NraYm1tnWUo/suXL9myZQvDhw+nYsWKmJmZ4eDgwJs3b3B2diY4OJhXr16xZ88e+vfvz8qVK7GwsCAiIoKAgAA+ffr0/55zBevHtMzwb5df79poaeVOpIuIiIiIiIiI/BMQhe03aGlJ6FK7LNtHN+L8lFZsH92ILrXLMmLEcH7//XfWrl3LkydPuH37Nm3btmXUqFHUrVuXM2fOUKRIEdq3b8+iRYsICwvj6dOnbNiwgVq1arF582batWuHvr4+rVq1wtPTkytXrqTpN1uxYkWcnZ3x9fVV5c/lFJlMRlhYWJ607QHNxO2bN2+4fPlyrtv8PHnyBE9PTyZNmoSpqalqf6tWrejWrRtTpkzhw4cPOZ4/K1ELX++h8metpHjx4vj6+nLr1i3MzMzo3r07rVu3zpPquVnZuXv3bqpXr86sWbMYM2YM0dHRjBo1Cm3t/+VUyuVy8ufPT7NmzVT78lrchoSEsGHDBtzd3SlevLhq/8iRI7G0tMy1J11bW5tWrVpl28/2R4haQLVu69atczXPhg0bCA0Nxc/PL83HnY8fP3L8+HGcnJyoVasWRkZGDBgwgMuXL9OzZ08OHz5MXFwcp0+fZsaMGTRo0ACJRMLq1asxMTFh1apVzJkzhwsXLuDv78+DBw8IDAykVq1amf7tEkWtiIiIiIiIyH8FUdiqyfDhX8XtqlWr8PDwICAggIsXL5IvXz5sbGzo06cPDx48UI03NjZm0KBBBAQE8OTJE8LCwvDy8qJQoULMmzePevXqUapUKXr16sWqVau4e/cuU6ZMoUSJEjg7O+fKVuWLeXYCQRPUFbcnT54kNTU118LWxcWFQoUKMXPmzHTHfHx8ePnyJV5eXjmaOztRC9CsWTPy5cuXoffQzMyMI0eOcPjwYZ4+fYqVlRW//fYbr169ypE9mXHjxg1atWpFz549qVmzJmFhYSxcuDCNqFQil8tp0qQJBQumLRSUV+I2NTWVSZMmYWlpyciRI9Mc09bWxs/Pj+DgYLZs2ZKj+ZXIZDIuXbrE27dvMzz+o0QtfL2HVlZWuerJ++7dO6ZOnUrfvn1p1KgRly9fxsPDg1atWqGvr0+7du3YunUrtWvXZuPGjTx9+pRbt27h6+tL+/btKVKkiGqu06dPY21tzZgxY2jfvj3R0dGMGzeOjh07phG1IiIiIiIiIiIiorDViG/F7fjx46lfvz4XL14kICCAM2fOYGZmxqxZs9J5EiUSCTVr1sTW1pZDhw4RFxfHmTNnGD9+PE+ePGH8+PFUrVoVS0tLqlWrxp49e9i3b1+O7TQyMsLS0jJPhS2oJ24VCgVVq1alUqVKOV4nODiYjRs3Mm/evAxFXJUqVXB0dMTLyyvNxwR1UEfUAhQuXJjGjRtneQ/bt2/PzZs38fHxYcuWLZiYmODv709SUpJGNn1PbGwsY8eOpU6dOjx79owjR45w6NAhqlWrluF4Za5tZh8T8kLcbtmyhUuXLuHv75/GU6ykZcuW9OjRg8mTJ/P+/XuN51cilUpJSUnh9OnT6Y79SFErCIIqRzk3ODs7ExcXx9u3bylZsiT169fH09OTwoUL4+XlRXh4OI8fPyYgIICBAwdibGycbo779+/Tu3dvWrRoQf78+QkODiYgIICCBQsilUpFUSsiIiIiIiIikgGisNWQ78UtwODBg4mOjsbe3p758+djZmbGli1bMvVq5suXj2bNmjF37lwuXLjA69ev2bdvH7/++itPnjwBvlaIrVu3LtOmTSMoKIjPnz9rZKdMJkMul+d5Dmh24lZZfCenKPMTa9euzfDhmfcNdnFxQV9fn8mTJ6s9t7qiVolUKuXUqVNZCtV8+fJhb29PTEwMffr0wd7eHktLS44fP662XUqSkpLw8/PDxMSEbdu2sXDhQm7dusWvv/6a5XnBwcF8+PAhS1GWG3H7/v17pkyZQs+ePWnRokWm47y9vXn9+jULFixQe+7vqVq1KpUrV07nKf+RohYgPDyc58+fa/zsvn79mp07dzJmzBjKly/P6tWrSU5O5u3bt0ycOJGzZ88SFxfHwYMHsbW1pUaNGpkWpvrw4QMzZ86kevXqnDt3jg0bNnDx4kUaNGhAfHy8KGpFRERERERERLJAFLY54Htxm5qaip6eHh4eHkRGRlK/fn0GDBhA06ZNuXLlSrbzFStWjC5durB06VJu376tEh0SiYTff/+d1q1bq8IYfXx8uHHjBqmpqVnOKZVKefr0KZGRkXlyzd+Smbh98OABMTExufJ6bdq0iZCQkEw9g0r09PSYP38+O3bs4MyZM9nOq6moha8fBxISEtQqilSyZElWrlzJ1atXMTIyol27dnTq1Ino6OhszwU4evQolpaWODo60q9fP2JiYrCzs1Or7Y1CoVCrCnVOxe38+fN5/fo13t7eWY6rXLkyTk5OeHt7c//+fbXmzojvi5/9aFELqFoFZdciKzExkaCgIFxcXKhXrx4lS5akd+/enD59Gl1dXUqUKMGTJ084f/48c+bMoWnTptn+DAVBYPPmzVSrVg1vb28cHR2Jjo5m0KBBaGlpiaJWREREREREREQNRGGbQzISt/A1THb37t0EBgaSkJBAvXr1GD58uEaFnDp27MjQoUO5d+8ekZGRXLt2jblz5yIIgqpXaenSpenfvz/r1q3j0aNH6eZo3rw5+fLly/NwZCUZiVuFQoGWlhatWrXK0Zzv379n6tSp9OrVS1XtNysGDhxI/fr1sbOzS1OI63tyImoBrK2tKV68uEYVpmvXrs3JkyfZuXMnt27dwtzcHCcnp0xzRqOioujQoQPt27endOnSXL16lRUrVmiU56msQp3VhwAlmorb+/fv4+Pjg5OTk1rh5VOnTsXAwEAjT/r3yGQyoqKiePTo0V8iauHrPWzatGm6HOXU1FSuX7+Ot7c3bdu2xcDAgNatW7N27VpMTExYu3YtDx8+ZOnSpdy7d48lS5ZkGF6cGZcvX6ZJkyYMHDiQhg0bEhkZibu7uyrXVhS1IiIiIiIiIiLqIQrbXJCZuIWv1XuvXr3K8uXLOXDgACYmJnh5eakdUuzh4cHnz59xc3Ojdu3aODk5cfz4ceLj4wkMDGTkyJHExMQwcuRIKlSogJmZGRMmTGD//v28ffuWQoUK0aRJkzxr+5MR34vbEydOULduXfT19XM0n6enJ/Hx8WoXhdLS0sLPz49r167xxx9/ZDgmp6IW/lelV9N7KJFI6NmzJ5GRkar2UCYmJvz+++8qAZ6QkICjoyPm5uZERESwa9cugoKCNBYub968ISQkRCMvuSbi1tnZGUNDQ6ZOnarW3EWKFGHBggXs3LkzwzxZdWjVqhUSiYRDhw79JaL2+xzlhw8fsm7dOvr160fp0qWxsrJi1qxZSCQS3NzcuH79Os+fP2fLli0MGzYMY2Nj7OzsaNKkCX369FFrzWfPnjFs2DDq16/Phw8fCAoKYteuXVSuXFk1RhS1IiIiIiIiIiLqIwrbXJKVuNXR0WHcuHFER0czfPhwpk2bRs2aNdm/f3+2ua/GxsbMmDGDpUuXEhERodpfoEABWrVqhYeHB5cvXyY2NpadO3diY2PDkSNH6Nq1K4aGhjRu3BiAwMDALPvn5pZvxe3Bgwdz3Crl7t27LFy4EGdnZ40KTzVq1IiBAwcybdq0dF7R3IhaJcoqve/evdP43IIFCzJjxgyio6NV7aEGDRoEQNeuXVXtWyIjI+nRo0emuZdZcerUqRxVoVZH3J46dYpdu3axYMGCNNV6s2PAgAE0aNAAW1vbLD3pmWFoaEjt2rWZNWvWDxe18DUM+cOHD4SGhlKtWjUqVqzIyJEjuXPnDiNHjiQoKIi4uDiOHTuGo6Pj/7fX+d+fzlWrVhEREYG/v3+2P8PExETmz5+PqakpBw8eZMWKFYSGhtKyZcs040RRKyIiIiIiIiKiGaKwzQOyErcABgYG+Pv7c/PmTapWrUrXrl1p06YNYWFhWc5rZ2dHpUqVsLe3z1QIGxoa0rNnT1XLoDt37rBs2TLKli1LaGgonz59okSJEnTs2BF/f38iIiJ+SEEpBwcHPn36xP3793M0v7OzMyVKlGDKlCkanzt//nw+fPiAm5ubal9eiFr4X5XeU6dO5eh8gLJly7Jx40aWLVumyj0tWLAggYGBTJs2jQIFCuR4brlcTpUqVdJ4+tQlK3GbkpKCra0tDRs2pH///hrNq6Wlhb+/Pzdu3GDt2rUa2/X+/XtiY2N59eoVR48ezXNR++XLF86ePYurqyuNGjWiY8eOACqBuXPnTl69ekVISAgeHh60bNky05/R69evmTlzJsOHD8fa2jrTNQVBYN++fdSsWZOZM2eqIi7Gjh2Ljo5OmrGiqBURERERERER0RxR2OYR2YlbgBo1anDs2DEOHjzI/fv3qV27NhMmTOD169cZzpk/f34WLlzIiRMnOHz4sFp2VKlShTFjxrBz505iY2PR09OjUaNGfPz4kcmTJ1OzZk3KlSvHkCFD2LhxI8+ePcvVdSsxMjJCV1eXrVu3ZtnnNiNOnjzJnj178PLyonDhwhqvXbZsWaZNm4a/vz/R0dF5JmoBVeui3OQqK9u3KNs6wVdx1aJFiwzbQ2mCQqHIVRXqzMTt77//zs2bN/H390/jnVSXBg0aMHjwYKZPn86bN2/UPk+ZU/v69WsEQdDIU5wZgiAQHh6On58fHTt2xMDAgObNm7N06VLKlStHpUqV+PXXX7lz5w4rV66kZ8+eGBgYqDX37NmzSU5OZt68eZmOuXXrFlKplG7dumFiYsLNmzdZtGhRhiH7oqgVEREREREREckZorDNQ9QRtxKJhI4dOxIeHs78+fPZuHEjJiYmLF26lOTk5HTjO3fuTOvWrXFwcODLly8a2ZMvXz7atGmjquQaHx/PsWPH6N+/Pzdu3GDw4MGUKVMGc3Nz7O3tOXLkSI57kCoUClq3bp1tn9vvSU5Oxs7OjkaNGtGvX78crQ3g4OBA2bJlcXR0zDNRC19/XsrWSZqSUfuWgIAAAPbu3at2e6jMePjwIdHR0bkStpBe3G7dupUZM2YwePBg6tevn+N5PT09+fTpUxpPelZ8WyjqyJEjFChQIMcfFGJjY9m4cSODBw+mbNmymJubM2XKFD59+sSMGTNUYfxr1qzhwYMHdOvWTeM1wsPDWbFiBTNnzsTIyCjd8devXzN+/Hhq167N48ePOXToEEePHqV69eoZzieKWhERERERERGRnCMK2zxGHXELX0Wnk5MT0dHR9OjRg0mTJlG7du10AkoikeDn58edO3dYsmSJxvZIpVIuXbqkKijVtm1bvL290xTAqV+/Prt27aJDhw4YGBgwatQo4KunKSOx/T2JiYmcPXsWmUyWbZ/b7/nWM5iTHFMlBQsWxNvbm0OHDuWZqFUilUq5ffs2jx8/Vmv89+1bHBwc0rRvAShcuLCqPVS9evU0ag+lRKFQIJFI0uVn5oRvxe3AgQNJSEjA09MzV3OWKVOGadOmsXjxYqKiorIc+3314xYtWtC8eXO1Pyi8f/+ew4cP4+PjA0C7du0YPHgwt27dYsCAAWkKr02dOpW6deuira3NyZMnSU1N1bhFlSAI2NvbU7lyZSZNmpTmWFJSEosXL8bExIRNmzbh7e3NrVu36NChQ6bPuChqRURERERERERyiSDyQ1i7dq0gkUiEsWPHCikpKdmODw0NFZo2bSoAQufOnYWYmJg0x8ePHy8ULVpUeP78uUZ2/PnnnwIg7N+/P8txqampwu3bt4UlS5YINjY2AiAAQrFixYSuXbsKy5YtE6KiooTU1NR05yoUCgEQbty4odrn6+srAMKUKVMyPEcQBCEuLk4wNDQUhg4dqtE1ZWa/g4ODAAhGRkbCly9fcj2nktjYWEEikQh//PFHtmNDQkKERo0aCYDQo0cP4e7du2mOh4aGCoAQGhqaZn9gYKBgbm4uSCQSYdiwYcKzZ8+yXatv375CvXr1NLqW7Lh586YgkUgEbW1t4cCBA7me79OnT0KlSpWE9u3bZzomISFBaNq0qaCnpydcuHBBtd/Ly0soWLCgkJiYmO6cpKQk4cKFC8LcuXOFZs2aCTo6OqqfPSDMmzdPePHiRbb2/fbbb0LVqlU1vq79+/cLQLp7dPz4caF69eqCRCIRRo0apZYNcXFxQp06dQRDQ0Ph+vXrGtsiIpKXKP/2i5u4iZu4iZu4/Syb2v+H/cD/H//zaCpuU1NThW3btgnly5cXdHV1hcmTJwtv374VBEEQXr16Jejr6wsjR47U2I7KlSsLEyZMUHu8Unz98ccfwpw5c9IIhwoVKggjRowQtm7dKrx8+VIQBEGYMmWKUKpUqXQCNjtxa2trKxQpUkR4+vSpxtf0LampqYKjo6NqLS0tLcHPzy9Xc35PnTp1hP79+2d6/OnTp8LQoUMFQLC0tBSCgoIyHJeZsBWEr2Jt+fLlgqGhoVCkSBFhwYIFGYo6QRCElJQUoUSJEoKLi0vOLigTfv31V6FSpUpCly5dBF1d3TwRt7t37xYA4fDhw+mOZSZqBUEQrl27JgBCUFCQkJqaKkRFRQlLly4VunbtKhQrVkwAhKJFiwpdu3YVli5dKkRFRQlXrlzJ9P5mhImJiTB27FiNricxMVGoWrWq0KZNG9VzHR0dLXTq1EkAhObNmwtXr15Vay5R1Ir8bPzdLy/iJm7iJm7iJm7fb+qSthynSJ4yfPhwAEaOHAnAsmXLsizEI5FI6NOnD506dcLHx4f58+cTEBCAh4cHQ4cOZe7cuUyaNInffvsNKysrte2QSqU5yhG1tLRk6NChuLq6kpCQwOnTp1EoFMjlclW1WysrK548eULNmjVJTEykYMGCqvPt7e2Br/mv8DXnUhmKGRkZydKlS5k3bx7GxsYa26ZEyKBQ1Js3b5g9ezYDBgygRIkSOZ77W2QyGX/88QeCIKQJJ01MTMTPz4958+aRP39+VqxYwciRI9NVulUHZXuoPn36MGfOHKZNm8bq1atZuHAhnTt3TrPuzZs3efXqVa7za7/lyJEjHD16lD179tCxY0f69u1Ljx492L17N506dcrxvN26daNly5Y4ODggk8nQ1dUF0ocff1/92NjYGD09Pezs7Hjz5g0PHz5ER0eHRo0a4ejoiFQqpV69emnu9dWrV9W268GDB8TExGgccu3v78/9+/c5cOAACQkJuLu74+fnh7GxMTt27KBnz55qhdWL4cciPysFao//u00g8foy4OewBX4ue0RbMuZnsgV+LntEWzJGacunJOFvtuQrBXW/vjv8TPfmZ7JFHcQc2x+Mujm331KoUCFcXV2JioqiVatWjBgxgvr162NhYUH16tWxtbXVqNCQTCYjKiqKR48e5fg69PT06NixI35+foSHh/P48WMCAgL45ZdfePnyJSdPnkRfXx+pVMr8+fMJDQ0lNTU1w5xb4f/zEytWrIidnV2ObcpI1AK4ubkhCAKurq45nvt7ZDIZL1++5NatW6q11W3foinqtIeSy+UULFhQ1a84t3z58gUHBwdatmxJ165d1epzqy7KPPGYmBiWLfv6xykjUfvp0ydOnDiBs7MzVlZWlC5dmoSEBGJiYujWrRuHDh0iLi6OM2fOMHPmTBo1apSre63MUW7VqpXa5zx//hx3d3fGjh3LxYsXMTExYdmyZcycOZPbt2/Tq1cvUdSKiIiIiIiIiPwNiML2LyAn4hagfPnybNmyhXPnzgHQokULjIyMOHv2LDt37lR7/VatWiGRSHLVsuZ7ypYty+DBg+nZsyfwVWh5enqSP39+3N3dqVu3LqVKlaJ3794UKVKE6dOnq8Tt4cOHOX78OAsXLiR//vw5Wj8zUQtQsmRJZs2axapVq7h582aeXG+TJk1UVXrDwsKQyWRqtW/JDRm1h5o4cSJxcXEoFAqaN2+e4/v3PcuWLSMmJgY/Pz+VMMtLcWtpacno0aOZPXs29+7d49dff+X69ev4+flx+vRpWrdujb6+Pm3btmXz5s1YWFgQEBCAj48PiYmJuLq60qFDB/T09PLkeuHrM1u3bl2Nfm7Tp08H4Ny5c4wcOVL10WjmzJlpohWyQhS1IiIiIiIiIiJ5jyhs/yJyKm7hq6gKCQlh3bp1REREoK2tzejRo3n16pVa5xsaGlKnTp08FbZKFAoFZmZmSKVS7O3tOXz4MHFxcZw+fZpx48bx8OFDxo4dy7x58zA0NGTBggX07duXZs2a0aVLlxytmZWoVTJ+/HhMTEyws7PTuI1ORhQoUICGDRvi7+9PrVq1ePjwYbbtW/KC79tDKb3kQUFBGnkas+Lly5fMmTOHMWPGYGlpmeZYXorbuXPnkpqaSu3atQkODkZLS4sRI0bg7u5OwYIFmT9/PmFhYTx58oQNGzYwePBgevXqhSAInDx5MreXmYbU1FQCAwM1CuU+dOgQ69atIyEhAV1dXc6fP8+mTZsoV66c2nOIolZERERERERE5McgCtu/kNyIWy0tLYYNG0Z0dDTDhw/n7du3/PLLL2zfvl0t4SaTyVAoFBqtmR2CIPxfe/cZFdW5/n38C4iNqIjYewEFBBQVUcTGTCxR7L2gWKNRigVrFFQQBAWxRcWaxBI1UZNzEmewY0cwdtHYaxQMxkIo+3nhw/wlUgY1UTzXZ61ZnjOz973vvZ2s5Dd3udBoNK+Fg4IFC9K8eXNmzZrFkSNHePToEdu2baNXr16YmJjw9OlTDh48SOPGjZk6dSp79+4lOTlZ72vqU6e2YMGCLFiwgD179vD999+/1X2mpKQQERHB0aNHuXHjBoGBgZw5cybH8i3vWkZ5qPj4eJycnEhNTWX58uXv5MeK6dOnY2BggL+/f5afv024TUhIYOvWrYwcOZLGjRvz5MkTkpKSqFq1Kp6enuzbt4+EhAR+/PFHvLy8sLGxyfRMq1SpgqWl5RutEc/JqVOn9F6j/OzZM2bMmEGnTp0oUKAAK1eu5OjRo3meBi6hVgghhBDinyPB9l/2NuEWoHjx4ixfvpxhw4bx5MkTevfuTfPmzXPdNEelUmVaI/ouXLlyhWvXruVaA9TU1JQuXbowY8YMjIyMaNCgAYqi8OTJE5YvX06rVq0wMzOjXbt2hIaG8uuvv2YZ1vUNtRnatWtH+/btGTduHC9evHije9y1axf16tXD09OTtm3bAuDo6EjBggXfqL23VbZsWezt7SlZsiTly5dHrVbTqVMnLl++/EbtxcXFsWLFCvz8/HLcaEvfcJucnMyePXuYMmUKjo6OmJub0717d6Kionjx4gWFCxemcuXKVKpUCT8/P5o3b57rs3zTzc9yotVqKVq06GsbVr1KURQ2btxInTp1CAgIID09nW3btjFkyJAcN4HLioRaIYQQQoh/lgTb9+Btwy1ASEgIpUuXplWrViQkJNCwYUOGDRvG/fv3szz+1TWi74pWq8XIyIiWLVvqdfy0adMwMjLil19+Yf78+Vy4cAEPDw9iYmKYOXMmaWlpTJs2DXt7e8qVK0e/fv1Ys2YNt27dynOozTB//nxu3brFggUL8nRv8fHxuLm50aZNG8zNzYmJiWHLli2Ym5u/85CVVxqNhnbt2rF//342btxIbGws1tbW+Pr6kpSUpHc7iqLg5eVFnTp1+Pzzz3M9Pqtwm56ezqlTpwgNDaVt27aULFmS1q1bs2LFCmrWrMnKlSs5d+4c5cqV488//2T37t0sX76cffv2sW3bNr36qVar+e233/jtt9/0vrfcaDSaHNcox8TE4OLiQp8+fahXrx7m5uZ07tz5jXaHllArhBBCCPHPk2D7nryLkduAgAD27NnDkiVLWLhwIVu3bsXCwoKQkBD++uuvTMcXLlwYFxeXdxrKNBoNjRs3pnjx4rkeGxsby8qVK/Hz86NUqVK63ZKDg4PZvHkz48ePZ9euXSQmJqLVahk8eDAXL17Ew8ODypUrY25uTmhoKMOHD2fgwIF697F27dqMGTOGOXPmcOfOnVyPT0pKYuLEidjY2HDq1Ck2b97M3r17qV+/PoaGhri6uv4ja5X19ejRI06ePIlKpdKVh7pw4QLTpk0jIiICS0tLVq9erdf3aevWrezbt48FCxboSvDkxtjYmJCQEGxtbenUqRNmZmbUq1ePadOmoSgKfn5+xMbGcv/+fTZs2EDPnj0ZPnx4pt2P27Zty2effcb48eN5/vx5rtds2bIlhoaG7+y5v3jxggMHDmQ50+DevXsMGTKERo0a8fjxYzQaDQ4ODiQkJBASEpLna0moFUIIIYT4d0iwfY/eNtwOGjSIBg0aMG7cOEaNGkV8fDzu7u5MmjSJunXr8uOPP2aa0qtWq9m/f7/e61lzkpaWxu7du/Vao6goCp6enlhZWTFy5Ejd+1mVAipcuDCurq7MnTuXEydOcP/+fTp06EBCQgJmZmYsX74cMzMznJ2dmTlzJgcPHiQlJSXH63/55ZcUKVKEyZMn53g/kZGRWFhYsGjRomzLt6jVak6cOEFiYqIeT+nd2717N4qiZAplfy8P5eHhgaOjI9HR0dm28/z5c8aPH0+HDh1o06ZNjtdMSkpi+/btjBkzhjp16lCjRg1iY2MpUaIET548YdasWSQmJvLLL78wYcIE6tWrh6GhYY51ajNG0ufPn5/rPZuamuLo6PjOgm10dDQvXrzI9N1NTk5m3rx5WFpa8sMPP7Bo0SLi4uKwtLQkKCgIHx8fatasmafrSKgVQgghhPj3SLB9z952Q6nw8HBiYmJYu3YtpUqVIiIigri4OKpUqULHjh1p164d58+fB16GsufPn3Po0KG37ndMTAyPHz/WK9h+9913HDhwgLCwsNdGBrMKtxkURSEoKIgff/yRiIgIHj58yOXLl1m0aBHly5cnPDwcFxcXSpUqhZubGwsXLuT8+fOvrc81NTVlzpw5rFu3jqNHj77Wv4MHD+Lo6MjQoUNRqVQ5lm9RqVSkp6eze/dufR/VO6XRaKhduzaVK1d+7bOM8lAHDhwAoFmzZvTt2zfL+sWhoaHcuXOH0NDQ1z5LSUnh4MGDzJgxA2dnZ8zMzOjcuTM//fQTLVq0YPPmzfz+++88ePCAzp074+/v/9pMgJxCLYClpSWenp4EBARw+/btXO9brVYTFRVFWlparsfmRqPRUKZMGWxtbVEUhZ07d1K3bl0mT57MoEGDiI+PZ9SoURQoUICJEydiamrKlClT8nQNCbVCCCGEEP8uCbYfgLctBdSnTx8mT56sW19Zt25dNBoNP/zwA/Hx8dja2uLp6UnlypUpXbr0Oxn50mq1FCtWDEdHxxyPe/78ORMmTMDNzS3bEJxVuM1qTa2BgQE1a9Zk5MiRbNmyhYcPH3L06FEmTZrEkydPGD9+PNbW1lSuXJlBgwbxzTffcO/ePQCGDBmCvb09np6euud748YN+vTpg4uLC4aGhkRHR/PNN99kGRozVK1aFQsLi/c2HVmr1eb6Y0KzZs105aF2795N7dq18ff359mzZwDcvn2bwMBAPD09sbS0RFEUzp07x8KFC+nYsSNmZma4uLgQERFB+fLlWbx4MZcvX+a3337jq6++okePHpQqVSrbDaVyC7UZpk+fjomJCZMmTcr1vlUqFQkJCcTFxeXtgWVBq9WiUqk4d+4cbdq0wc3NjerVq3Pq1CkWLlyImZkZAAcOHGDTpk3MnTs3T/VzJdQKIYQQQvz7CrzvDoiXPDw8ABg6dCgAixcv1nvn1aCgIGrXrk1AQABz584FXtY/7dSpE23btiU8PJxZs2bxzTffUK1aNXbt2sWcOXPeqr8ajYaWLVvmujYzJCSEu3fv5hoEvb29AfDx8UFRFFJTU5k/f36OG0UZGRnh6OiIo6MjU6ZM4enTpxw4cACNRoNWq2Xt2rUA2NraolKp6Nu3L76+vqxevZqbN28SHBxMiRIlWL16NQMHDtT7eavVan755Re9jn2Xrly5wtWrV/UaJc8oD9WtWzfmzJnD7NmzWblyJfPmzWPnzp0UKVIECwsL3N3d0Wq13Llzh4IFC+Ls7MzkyZNRq9U4ODhgZGSU43Uywm3v3r3p1q0bX3/9NREREbmGWoASJUowZ84chg8fzujRo3Fycsr2WCcnJ0xMTNBoNDRo0CDX+8/Oo0ePiImJoWTJktjb21O9enW2b99Ox44dM005T0tLw9PTk0aNGjFgwAC925dQK4QQQgjxfkiw/YC8abitXLkyvr6+BAQEMHToUGrVqqX7rFChQkycOJGBAwcyZcoUVq9eDcAPP/xA586d36ifT58+JTo6OtfNdG7evElgYCBeXl5YWFjk2q63tzeKojBu3DgAFi5cqPfuxwAmJia0bdtWV5bn3r17REVFodVq2bx5M7dv38bAwIChQ4diaGhI//79CQ8Px9TUVO9rwMvRwyVLlnD16lWqV6+ep3PfRsYu1C1atND7nOLFixMUFES/fv0YMWIEvXv31n02YsQI7Ozs6NOnDyqVChcXF0xMTPLcr4xw2717d3r37k3hwoWJiorKMdRm8PDwYMmSJXh6enL48OFsv+8FCxakRYsWaDQavUZ4s5KamsrEiRMBOHLkCIGBgYwdOzbLnZHXrFlDbGwshw4d0vsHDwm1QgghhBDvj0xF/sC86bTkCRMmULZsWcaPH5/l5+XKlWPVqlW66aJdunSha9eub1RC5cCBA6SkpOQ6cjhp0iSKFSvGtGnT9GpXUZRMOxffvn07y3q2+sooGbR69Wp++OEH6tevr2vPyMiIdevWUb16dbp168bSpUu5fPmyXtdr1arVO92lV18Zu1CXKFEi12NTU1M5evQos2fPpmXLljRs2JAjR45QoEAB3Shs37592bVrFyEhIbRt2/aNQm2G5ORkHj58iJGRESkpKTx8+FCv84yMjAgPD+fYsWN8/fXXOR6rVqs5ePCgbkp1XkRFRVGvXj1WrVpFiRIliI+PZ8KECVmG2j/++IMpU6bQr18/vcI5SKgVQgghhHjfJNh+gN4k3BYtWpR58+axffv2HEv6dOjQAQsLC1xdXTl+/DhWVlZMmTKFJ0+e6N0/jUZDxYoVqVOnTrbHREdH8+233xIYGKhXOaC/r6nNbkOpvMoo3+Lo6Mhff/2FRqNh2rRpGBgYsHnzZry8vLh//z5jxozBwsKC6tWrM2zYMDZv3pxtODM1NaVRo0b/aj3bjF2osypRAy+fX3x8PEuXLqVr166Ym5vj5OSkm249f/58AgICSE1NRaPREBERwX//+18sLS2zLA+VFxlrak+fPs3u3btxc3PLtOY2N82bN6dnz566tdLZUavV/PXXXxw8eFDvvl25coUuXbqgUqkwNTWlfPnyDBw4kHLlymV7zuzZs/nzzz910/pzI6FWCCGEEOL9k2D7gXqTcNuzZ0+aNWuGt7c3qamp2R6nVqu5du0aFy5cYNKkSSxYsIDatWuzdu1ava6TsfnOq2sSX5Weno6npycNGjRg0KBBubaX1UZROe2WrI/syreoVComTZpE6dKl2bRpEzNmzODgwYMkJCSwY8cO3NzciI6OplevXpQpU4YGDRrg6+uLVqvlxYsXuvYzdunNa4mmN3Xy5EkSExMzjZI/fPiQTZs2MXToUKpXr46lpSVjx47l999/x9vbm+joaBISEti+fTvu7u4sXLiQXr160apVK7744gvi4+MZOHBgtuWh9PH3jaJcXFyy3FAqN8HBwSQmJhIYGJjtMdbW1pQvX16vkfKnT58yadIkrK2tOXHiBBs2bGDNmjXcvXs32x8HAOLj4wkPD2fy5MlUqlQp1+tIqBVCCCGE+DBIsP2A5TXcGhgYEB4ezrlz5/jqq6+yPU6tVnPlyhUePHiAn58fFy5cwMXFhUGDBuHk5MTp06ezPff+/fv8+uuvOU5DXrduHTExMYSFheW6PjGrUJvhTcJtbuVb4OVa3Llz57J161b27t0LvFyL2rFjRxYuXMi5c+e4efMmq1atwsrKirVr16JWqylZsiRqtZrg4GCqVq1KQkICsbGxufbpXdBoNJiYmPDkyRN8fX1xcHCgdOnS9O7dm0OHDtGpUyd27txJQkICBw4cYMaMGTRt2lR3z4GBgTx+/Jjg4GBdm7mVh8pNdrsfZ7dbck6qVq3KhAkTmD9/frbT4w0MDFCpVDmOlGf8M9KlSxcWLlzI5MmTuXjxIr1799atUW7ZsmW2548bN44KFSro1nnnREKtEEIIIcSHQ4LtBy6v4dbBwQEPDw+mT5/Oo0ePsjymZcuWGBoa6gJC1apV2bRpE/v37yc1NVU3yvrgwYPXzs0YLXN1dc2y7aSkJCZNmkTv3r1p1qxZjn3NKdRmyEu4PXfuHG3bts22fMur+vbti5OTE56enlnWRq1UqRKDBg3i66+/5u7du/z666/MmTMHY2Nj/Pz8GDZsGPB/fz/Xr1/P8V7fRHp6OidPniQoKIiQkBCeP39O+/btWbduHTY2NqxZs4Zbt25x7tw5wsPD6dChQ5ZlaX777TdCQ0OZOHEiVapUee3zrMpDeXl5kZiYmG3fcivp8ybh1tfXF3NzcyZMmJDtMSqViri4uCy/m4cOHcLd3R2Ahg0bcuHCBWbOnEnRokWB/1ujnN3U+F9++YWdO3cyb968LGsYv0pCrRBCCCHEh0WCbT6Q13A7Z84cUlNTmTlzZpafm5qa4ujo+NqUThcXF44fP67b7KlLly7Mnj2b58+f647RarXY2tpmu0YxICCApKQkgoKCcuyjPqE2Q27hNiEhgbFjx2JnZ8eVK1fYvn07v/zyCzY2Ntm2aWhoSHh4OL/++isrV67Msa8GBgbY2tri4+PDf/7zHxISEtizZw81a9bk2rVrjBgxgmrVqmFhYcGoUaP4/vvvefz4cY5tZufatWusWLEi01Rof39/Hj9+jJubG7/++it37txh/fr1uLu7U7FixVzbHD9+PGXKlNHtCJzdPXbq1Ilz584xZ84cIiMjsbCwYOnSpa9Na9e3Tm1ew62JiQnBwcFs27aN3bt3Z3lMxjTiVz+/desW/fr1w9nZWffPRkBAQKYQn7FGObuZBikpKXh7e9O8eXO6d++eYz8l1AohhBBCfHgk2OYTeQm3ZcuW5csvv2Tp0qWcOXMmy2My1oj+fbTSyMiILl26ANCjRw/8/f2xsrJiy5YtpKeno9Fosg0Hly9fZsGCBfj6+mY5MpghL6E2Q1bhNjU1lSVLlmBhYcGaNWsIDAzk7NmzuLm5Zbv+91WOjo64u7szderUHEcn/65QoUK0bNmS0aNHk5yczM2bN9m6datummzXrl0pVaoUTk5OTJs2jX379mW7OVNiYiLbtm3j888/121eNXLkSK5fv87IkSPZu3cvGzduRFEU5syZg62trV73liEqKorvv/+e4OBgvXY9LlSoEL6+vly6dAk3NzdGjRqFg4ODLkjqG2oz5DXc9unTh6ZNm+Ll5ZXlOvEKFSpgY2ODRqPh+fPnzJo1i9q1a6PVaomMjGTdunVZthsTE8Pjx4+z/e4uXbqUCxcuEB4enuPzlVArhBBCCPFhkmCbj+Ql3I4dO5YaNWroasP+nUqlIiEhgbi4uGzb8PLy4syZM9ja2tKjRw+cnJy4fft2tpvvjB8/nrJly+Y4lfRNQm2GV8Ntnz59qFevHl988QWdO3fm0qVL2ZZvyUlgYCDJycn4+/vn6Tx4+eNAcnIyZ8+epWvXrixdupT4+HiuXr3KV199RdWqVVm2bBktW7akZMmStG/fnrVr1wIvaxQ3btwYc3NzunXrhlarRa1Ws23bNh4+fMiRI0eYPXs2LVq0YN++fVSoUAErK6s89S81NRUvLy+cnZ0z1a/VR/ny5Vm1ahXHjh3jk08+wdXVFTc3N1q1aqV3qM2Ql3CbsU789OnTrFixIstjXF1d2b59O1ZWVsyaNYvRo0cTHx+Ph4eHrpTR32m1WooVK4ajo+Nrnz18+JAZM2YwbNgw6tWrl23fJNQKIYQQQny4JNjmM/qG24IFCxIaGopWq80ySDg5OWFiYpJryRpLS0t27tzJf//7X27cuAHAd999x++//57pOK1Wy/bt2wkODtatafy7twm1Gdzc3Khbty6bNm3i8ePHHDt2jMjIyBzLt+SkfPnyTJkyhUWLFnHhwoU8nWtjY0O5cuVee4bVqlVj6NChbNq0ifv377Nx40ZatWrFsWPHWLhwIQCrV6/m/v37uLu7c/jwYeLj41myZAldunShZMmSmdrLGCXPy0gtwIoVKzhz5gxhYWF5PjdDo0aNiI6OJjIykl9++YUTJ07QpUsX6tatm6d28hJuGzZsyKBBg5g+ffprI+mxsbFERUXx6NEjatSowdmzZwkODs61pJRGo6Fly5YYGxu/9tmMGTNIT09n1qxZ2Z4voVYIIYQQ4sMmwTYf0jfcdujQgU8//RQfHx+Sk5MzfVawYEFatGihdy3Wtm3b0rBhQ2rWrMn333+PhYUFCxYs4K+//so0MtirV68sz3/bUPvkyRMmT56MtbU1jx8/ZsCAAdy+fZstW7a8VZ1beDkSXLlyZXx8fPJ0XsYuvX9fq3z79m3WrFlD//79qVixom5H3vr16zNq1CgABgwYgJmZGatXr6ZJkyZYW1vj6enJzp07M9VyzdiFOqcSNVlJSEhg+vTpDB48mIYNG+bp3L97+vQpq1evpmDBgnh4eLB582Zq167NunXr8lTuKC/hNiAggOTkZPz8/ICXG5kNHz6cBg0akJqaiqGhId26dcPCwkKv/kdHR2f5DE+fPs2yZcuYMWMGZcqUyfJ8CbVCCCGEEB8+Cbb5lD7h1sDAgAULFnDt2jXCw8Nf+1ytVnPw4EGePXuW6/VSUlLYv38/gwcPJj4+nr59+zJ+/Hjs7OwYO3asbmferEYG3ybUpqens2bNGiwtLQkLC9OVb1m3bt1b1bl9VeHChQkNDeW///0v//nPf/J0rlqtJjY2lq+//pqxY8dibW1NpUqV8PDw4Pz587i7u6PRaEhMTESj0TBkyBAAPD09OXnyJA8ePGDjxo00bdqUH374ATc3N8zMzHBxccHPz4+lS5cC5DnY+vn5kZycTEBAQJ7O+7tX19Tu2rWLyMhIXXkod3d3mjRpwpEjR/RuT99wW758eaZNm0ZERAQTJ07EwsKC7777TjdN2dnZWa96tgAHDhwgJSXltfW1iqLg6elJrVq1sv1OSqgVQgghhMgfJNjmY/qEW2tra0aPHs2sWbO4d+9eps/UajV//fUXBw8ezPVax44d48mTJ6jVaszNzVmyZAmxsbGULl2apUuXUrFiRT755JPXznubUHv48GEaN27M4MGDadmyJRcvXsxUvuVN6txmp3PnzrRu3Rpvb+9sN3rKkJKSQnR0NH5+fixatAh4OQK7Y8cOnJ2d2bRpEw8ePCAmJoagoCBUKlW25WNKly5Nr169WLlyJdeuXePSpUssXLiQ0qVLs2DBAvz8/DA0NGTEiBG66dK53ee5c+dYvHgx06dPf+Mp2pD9RlEZ5aH27dtHSkoKTZo00Y2g60PfcFunTh2MjIyYN28e/fr1Iz4+njFjxmBsbIxarWb37t1ZbjD1dxqNhooVK1KnTp1M7//www/s2bOHBQsWULBgwdfOk1ArhBBCCJF/SLDN5/QJtzNnzqRQoUJMmTIl0/vW1taUL19er5EvrVaLqakpDRo00L1nZ2eHvb09hQsXxsDAgLp16+Lj46MrdfOmofbWrVv079+fpk2bkpaWxv79+9mwYUOWOy2/q3BrYGBAWFgYly9f1oXVDIqicOHCBSIiInBzc6NUqVI0a9aMsLAwKleuTLly5ejRowdXr15lxYoV9OzZE3Nz8zfqg4WFBZ9//jnbtm3j999/p3Tp0jg5OfHHH3/g4+ODlZUVVapUwcPDg2+//Zb79++/1ldvb2+qVauGp6fnGz0L0G/34+bNm3P8+HFWrFjBL7/8gqWl5WvlobKTU7g9f/487dq1o3Pnzrow2r59+0zPVKVSkZSUxIkTJ3K9llarRaVSZZpN8OLFC8aNG0e7du1o3779a+dIqBVCCCGEyF8k2H4Ecgu3JUuWxN/fnzVr1mQKAhlrRPVZZ6vRaGjdunWmXWfPnj3LsmXL8Pf359KlS/j7+7N8+XIsLCz46quvGDduXJ5C7avlWzQaDStXruT48eO4uLjkeN67Cre2traMGDECf39/zpw5wzfffMPgwYOpUqUKVlZWjBs3jqSkJHx9fTl69CgPHz5k69at9OzZk6NHj77RNXNy5coVfv/9d6ZOncrevXtJSEjgp59+okePHhw/fpx+/fpRrlw57O3tGT9+PD///DNbt25l165dhIaG5nmH6Ax5KeljZGTE0KFDiY+P5/PPP89UHiq3v4e/h9sNGzbg7e2NnZ0dly5d4vvvvycuLg5XV1d8fHwyjaQ3atSI4sWL5/rdzVij/PdpyGFhYdy8eZP58+e/do6EWiGEEEKI/EeC7Ucit3A7fPhwbGxs8PT0zBQ4VCoVcXFxPHjwINu2k5KSOHLkSKZ1nhkjg9WrV2fs2LEULlyYyZMnc+nSJdq3b8/IkSNZsGABY8eOzTXUKorCd99991r5liFDhmRbvuXv3jbcPn36lJ9//hl4uVGVra0t/fv3JyYmhp49e/Kf//yHxMRE9u7dy9SpU3F0dNT1Ta1Wc+PGDS5fvpyna+ZGq9VibGxMixYtAPjkk09o37498+fP5/Tp09y5c4f169dTv359NmzYQLt27ejRowclS5bkzJkzHD9+/LU6xbnJa53aDCVKlCAkJCRTeaiM0kA5MTY25ptvvsHGxoa+ffuybNkyZs2axdmzZ+ncuTOGhoaEhYVx5coVIiIidOcVKFCAVq1a5RpsM2YjuLq66t67c+cOs2fP5osvvnhterKEWiGEEEKI/EmC7Uckp3BboEABwsLCOHToEBs3btS9nxFWd+/enW27+/btIy0tLdOo186dO9FoNMyfPz/TyGD58uUpXbo08LLszcKFC+nRowfXrl3Lsu24uDhatmxJz549sbOz07t8S1byEm7T0tI4duwYc+bMoVWrVpiZmdGuXTu2b9+u20VYo9Hw66+/EhoaSrt27TAxMcmyrRYtWlCgQAG9d5jWl0ajoWnTptlet3z58vTv3581a9Zw69Ytxo8fj4GBAXZ2dsydOxdHR0dKly5N9+7d+eqrr7hy5UqO13vTUPuqV8tD3b9/HwcHB0aOHPlaeagMe/bsoXHjxsTFxVGlShVSU1OxsbGhcOHCumPq1q2rGw1+deq1Wq3m8OHD/Pnnn9n2R6vVYmtrm2mt8ZQpUyhSpAhffvllpmMl1AohhBBC5F8SbD8yOYVbV1dXunTpwsSJE3n69CkAFSpUwMbGJsdQptFoqFatGjVr1gQgOTkZHx8fPv30Uzp06KA77u9raq9cucL69es5dOgQderUYdq0aboQklG+xcHBgd9//52ff/6ZHTt26FW+JSfZhVtFUbhy5QrLli2jW7dumJub07hxY+bOnUuxYsWYN28e586d49atWxw8eFA3eqzPyG+xYsVwcnJ6p8E2JSWFPXv26L0b8oMHD3R/5xnTlg8cOMCYMWO4e/cuo0ePplatWtSoUYPhw4fz3Xff8ejRI9357yLUvqpt27b8+uuvzJ8/n02bNmUqDwVw9epVunXrRuvWrSlatCjHjh3j8uXLuLm5ZbmhlJ+fH0ZGRkybNk33nlqtJjU1lX379mXZB0VRdDWAMxw7doy1a9cye/bsTPWCJdQKIYQQQuRvEmw/QjmF25CQEB48eEBwcLDuvYx1ttmFuL9vvhMeHs61a9dYsGCB7r2sNooyNDSkf//+XLx4kfHjxxMSEkLt2rXp168ftWrV0pVvOXXqFG3atHln9/9quO3cuTPDhg2jRo0aurIu9+7dw9PTk4MHD5KQkMCOHTsYO3YsVlZWGBgYYGxszIIFC9i/fz9btmzR65pqtZo9e/botUuvPo4fP67bhVofU6dOxdjYWFf31djYmGbNmuHn50d0dDSPHj1i+/btfPbZZ+zfv5+ePXtSunRpGjZsyLhx42jSpAlxcXHvJNRmMDY2xtPTM1N5qLp169K7d2+srKw4cuQIX3/9NYcOHaJRo0Y5bihVqlQp/P39iYyMJDY2FgALCwsqV66c7eZnFy9e5Pbt27ofBzLK+9jZ2TF06FDdcRJqhRBCCCHyPwm2H6nswm2NGjXw8fEhODiYGzduAC9D2c2bN4mPj3+tnVu3bnH+/HldwLp37x6zZ89m1KhRWFtbA7nvfvzJJ58we/ZslixZQlJSEt9++y1FixZl06ZNuvIt78KLFy+Iiopi0qRJfP311xgYGLBjxw62bdtGhw4d2L59OwkJCURHRzNz5kycnZ2zvXabNm3o0KEDEyZM0GuXX5VKxR9//KHXLr360Gg0lChRItMu1Nk5efIkq1atws/PDzMzsyyPKVGiBG5ubkRERHDhwgVu3LhBZGQkNWvWJCIigjNnzvDXX38xY8YM5s2bR1xcXJY7bL8Jc3NzFi1ahL+/P9evX2fTpk1UrlyZnTt30q9fv0y7FecUbkeOHImVlZVunbiBgQFqtTrbkXKNRoOxsTHNmzcH4Ntvv+XIkSOEh4fr1kdLqBVCCCGE+DhIsP2IZRdup0yZgqmpKRMnTgRelm3Jbo2oVqvFwMCA1q1bA/83Mjhz5kxAv5I+Fy5coF27dgwZMgRHR0ciIyMpW7Ysbdq0YdCgQdy5c+eN7i89PZ3Y2FiCg4P59NNPKVmyJCqVitWrV1OnTh1WrVrF9OnTSUhIwMTEhI4dO+Zp7W5oaCh37twhNDQ012MdHR0pXry4XqWT9KHVamndujUFChTI8biMUUhra2tGjhypd/uVK1emR48e3Llzh0KFCrF27VoCAgIwNDRkxowZ1K9fn3LlytGnTx8iIyN1P4K8iaNHj9K0aVOmTZtGp06dWLp0KampqTRu3DhTeagM2YXbjHXiBw4c4LvvvgNe/qBw9uzZLL9Dr65R/vPPP5k4cSLdunWjZcuWgIRaIYQQQoiPiQTbj1xW4bZYsWLMnTuXTZs2ceDAAYoVK0aTJk2yDGVarZb69etjbm7OiRMnWL16NbNmzcLMzCzXUJuYmIi3tze2trZcvHiR77//Hq1Wi4eHBydPnmTZsmX89NNPWFpaEhgYyIsXL3K9n+vXrxMZGUnv3r0pW7YsDg4OzJw5EyMjI2bPns2pU6e4d+8e33zzDYMGDcLf3/+Nd0u2tLTE09OTwMBAbt26leOx+u7Sq48nT55w5MgRvaYhb968mYMHDxIWFpZrCH7Vq2tqd+3axcCBAxk3bhw///wziYmJ7N69m6FDh3LlyhWGDRtG1apVqV27NqNHj+aHH354LYxm5c6dOwwcOBAnJydevHjB3r172bx5MyNHjuT8+fOZykMtX7480w7O2YVbtVqNm5sbEyZM4NmzZ7rdjqOiojJdOzU1lb179+qeYVBQEI8ePWLevHmAhFohhBBCiI+OIv4nREZGKgYGBsrIkSOVtLQ0JS0tTWnUqJFSv359JTU1VfH391eKFy+upKSkKDExMQqgnDhxQilbtqzi6+urpKenK02bNlXq1q2rpKSkKOnp6cq4ceMUQImIiMh0rdTUVGXZsmWKubm5YmJiogQGBirPnz/Psl+JiYmKt7e3UqBAAaV69erKtm3blPT09Eyfb9u2TRk1apRiYWGhAIqhoaHi6OioTJkyRdmzZ4/y4sWLXO9//vz5CqC7F309fvxYKVOmjNKvX79cj42IiFCMjY2VJ0+eZHtMxrONiYnJ9pidO3cqgHLp0qUcr/f06VOlcuXKSqdOnXLt26uePHmiNGvWTClWrJhy6NChXI9/9OiRsmXLFmXEiBFKzZo1dX8HTk5OyvTp05V9+/YpycnJuuOfP3+uzJkzRzExMVHMzc2V5cuXK6mpqVm2ffv2bWXgwIEKoNjb2yt79+7N9Plff/2ldO3aVTE2NlZ27NihKIqixMfHK8bGxoqfn5+iKIpSr149ZcCAAYqi/N/zjYyMVADl6NGjytWrV5VChQopU6dOVRRFURISEhQHBwelVKlSSlxcXJ6enRAfO0Be8pKXvOQlrw/qpfe/w/7Bfz+KD8zfw+2hQ4cUQFmxYoXufx8+fFgXDjZu3KgAikajUb799lsFULRabY6hdvfu3YqdnZ0CKO7u7srt27f16tv58+eVtm3bKoBSv359Zfjw4YqTk5NiaGioAErNmjWVkSNHKlu2bFESEhLe6P7fNNyuXLlSAXINgRcuXFAA5aeffsr2GH2C7dixY5WqVavm2seZM2cqBQsWVOLj43O+gVfkNdRm5bffflO++uorpUePHoqZmZkCKCYmJkr79u2VQYMGKRUrVlQKFCig+Pj4KImJiXq1eeTIEaVx48YKoHTv3l25evWq7rOswu3EiROVIkWKKDdu3FDGjx+vlC9fXklPT9c93+HDhyumpqZKamqq0r17d6VChQrKkydPJNQKkYv3/R8v8pKXvOQlL3n9/aUv/ecuinzPw8MDQLcj7OLFi+nXrx9Tp07l3LlzFC9eHI1Gw2effQa8XBtZuHBhHBwcsLe3p3PnzrRu3TrL6cdXr15lwoQJbN26FScnJ44ePYqjo2OufVIUhbNnz6LRaDA0NKRw4cLExsYSGxtLzZo1CQkJoXPnzlSvXv2t79/b2xsAHx8fAAIDAzNtXJSdQYMGsXjxYjw9PTly5AiGhlnP4Le0tKRSpUpoNBrat2//xv3UaDSZdqHOys2bNwkKCsLLy4tatWrp1e67KulTvXp1hg8fzvDhw0lLSyM2Npb169ezbt063RTl0qVL8/vvv7Njxw5UKhUVKlTIsc3GjRtz6NAhvvnmGyZNmkSdOnWYMGECkyZNwsTEhI0bN9K7d2+6devG1q1bmTp1KmvXrmXSpEm4u7sTEhLCuXPndO0dPXqU1q1bc/DgQbZs2cK6detISUmR6cdC6KFwvdHvuwu8iFsMfBh9gQ+rP9KXrH1IfYEPqz/Sl6x9SH2B/+vP8xTlPfcEihi//G/QD+HZZDwXfcga2/8xf19zGxAQwJ9//sncuXNfWyN65MgRmjVrxsKFC3nw4AHz5s17LdT++eefTJ06FSsrKw4fPqwr35JTqL1z5w7r1q1jwIABVKhQAVtbWyZPnkxycjIzZ87k8OHDhISE8Pvvv+Pv78/OnTtJSUl5J/efXZ3bnBgZGREeHs7x48dZv359tsdl7NL7NhtI3b59O9Mu1Nnx9fWlePHiTJ06Va9233Wd2gwJCQlERkayaNEiypYty7Zt2/jll18YNGgQp0+fxt3dnYoVK1K3bl28vLz46aefePLkSZZtGRoaMmDAAF15qHnz5lG7dm2+/vprjIyMMq253bdvHwEBAXz77bcYGRlRsGDBTN/d06dP07p1azw9PWncuDHt27eXUCuEEEII8RGTYPs/6NVwGxgYiK+vL+Hh4djZ2XH48GGePXsGQGxsLI0aNSIoKAhvb2+WLVumC7WjRo1i/fr1WFpaEhoayoQJE7h48eJr5Vvg5WZIP/74I15eXtjY2FCxYkXc3d05e/YsAwYMYNeuXSQmJqLVavH19cXJyYlx48YRHx9Pz5498fLywt7enl9++eWd3P+bhFsXFxd69erFpEmTsg1m8HJzozNnznD37t036ltGKM7YFCkrBw8eZMOGDQQGBuq1y/M/EWpTUlIIDw/H0tKSDRs2EBoayunTp+nSpQuffvopwcHBxMbGcv/+fTZs2EDjxo11ZZfMzMxo3rw5s2bN4vDhw6/V/s0oD3X+/HmcnJwYMGAAzs7OxMbGZgq3pUqVokGDBvj6+uLs7JzpB4X09HQSExM5deoUs2bN4tNPP5VQK4QQQgjxEZNg+z/q1XB78+ZNypcvz4EDB0hNTSUmJgZ4WRf2xIkTmJqa8uzZM12obdSoEU2bNmXgwIE0a9aMCxcuMGvWLD755BPg5Y60hw4dwt/fHxcXF8zMzOjYsSPff/89TZo0YcOGDTx48ICTJ08SHByMWq2mSJEir/WxTJkyfPXVV5w8eZLSpUvTtm1bOnbsyKVLl976/t8k3AYHB/P48WMCAgKyPSa7XXr19eou1FlJT0/H09OTBg0a4O7unmt7/0So/fnnn7Gzs8PHx4devXoRHx+Pl5dXljWBy5QpQ+/evYmMjOT69etcvHiRsLAwSpUqRUhICE2bNqVUqVJ07tyZxYsXc/HiRd3fRfXq1dmyZQt79uzh2bNnNG7cmGHDhrFgwQI6duxIjx496NGjBzExMZiZmbF3717dyH7ZsmUJCwvT/RghoVYIIYQQ4uMma2z/h7265lalUqHRaDA3N+fYsWPAy5EzjUZD27ZtiYiIYPbs2Rw7dowxY8Zgb2/P3r17adGiBYqicPHiRTQaDVqtlj179pCUlESJEiVo1aoV4eHhqNVqatWqpdea1r+rV68ee/fuZevWrYwfP566devi6enJtGnTKFGixBvff17X3FapUgVfX18CAwMZOnQoNWvWfO2YMmXKYG9vj0ajoX///nnqj6IoaLVaBg4cmO0xa9as4eTJk0RHR2e71jfDuw61ly5dwsfHh59++omWLVuycePGPAVFAwMDLC0tsbS0ZPTo0aSmpnLixAk0Gg0ajQYvLy9SU1OpXLkyarUalUqFq6srLVu25OTJk6xcuZKpU6eydetWfH19SUtLY/r06TRv3pw9e/bw9OlTzpw5A7z87t69e5dz585x584dCbVCCCGEEB85Cbb/414Nt+XLVyClgh3RhRtR8XMVyp+/U/xyND//vJMOHToQGBhIkSJF+Oqrr+jYsSN79+7Fw8MDrVbLzZs3MTY2pkmTJkyYMAGVSkXDhg3zVFs1JwYGBnTv3p3PPvuM0NBQAgMDWbduHQEBAQwaNAgjI6M3ajev4XbixIlERkYyYcIEtm3bluUxKpWKb7/9FkVR8hTkz5w5w71791CpVFl+npSUxJQpU+jTpw9NmzbNsa13GWr/+OMPZs2aRXh4OJUqVWLLli107dr1jX6keFWBAgVwcnLCycmJ6dOn8+eff7Jv3z60Wi0ajYZVq1YBL3/YUKlUqNVqTp06RUhICH5+flSuXBkHBwcOHTqEoaERpvauhJ8xoOLnq/jz8X1KXj/CnYvREmqFEEIIIf4HSLAVeHh4oCgwaccFTKxboKSnUcDQCKVYKQwq2lChQl3++0MwnTq5UaFCBZYsWcKIESMAqFu3Lt26dUOtVtO8eXPddOR/SpEiRZg2bRqDBg1i0qRJDB06lMWLFxMeHo6Li8sbtZmXcFu0aFGCg4Pp27cvUVFRWa6FVavVhIaGcv78eaytrfXuh1arpVChQjRr1izLz+fMmUNSUhJBQUE5tvOuQm1aWhqrVq1i6tSpPH36lJkzZ+Lj45PltPF34ZNPPuGzzz7T7cqdMdKq0Wj45ptvCAkJoVChQjg7OzN27FgOHz7M4cOHKV26DEoTd0ysW/BHehoFChthVKwUBlVtad9/LLa2dv9If4UQQgghxIdD1tgKAMwbtMHEugUABoZGmf40tmiKibUL27ZtY+vWrdjb27Nu3Tru3LnD6dOnWbBgAe3bt//HQ+2rKlWqpNuBuUCBAjRv3pzevXtz48aNN2ovL2tue/fujbOzs27q7N+5uLi8tkuvPjQaDS4uLlkGx/j4eBYsWMCkSZOoXLlytm28q1C7f/9+GjZsyPDhw2nbti2XLl1i6tSp/1iozUqFChUYMGAA69at4/bt25w5c4a5c+fqZg0cPnyYYsWKkVapXrbf3f03nrPz1zv/Wp+FEEIIIcT7ISO2AoBvj93A0ADSs8pzSjoW7TyY9OUoqlevrhvNvHv37hvv/vuuFCpUiCVLlvDTTz8RERGBhYUF7u7uuLu75zmEtWjRAh8fH4KCgrh37x5jxozJduT2888/p3///kybNo2ePXu+9rmdnR1bt259bRT5/Pnzmf7MkJKSwp49exg2bBgnT558rT1vb29KlSqFq6trlp8DPHv2jDFjxnDp0iUWL15MoUKFsj02O3fv3iUsLAytVouNjQ1r1qzB1taW+/fvc//+/Ty19U9o3rw5zZs3JyUlhdOnT3P06FF2Y0dqepouzL7K0ODld7tTvYrvobdCCCGEEOLfIsFWAHAr8VnWoRbAwJB7SSn06DHgX+3Tm1qxYgUrVqx4qzbWrl3L2rVrcz0uKCgox6nBDRo0yPL97DaWioiIICIiItv2spum/HeDBw/W67icnD17lkGDBr11O/+0ip+vokAWoRZe/lBzK/H5v9wjIYQQQgjxb5NgKwCoVLIod/94ke2IbYHkP3T/t3bt2jRu3JjGjRtTr149Chcu/O91VA+3bt0iLCyMPXv2YG9vz4QJE7CysspTG9988w3z58/H3d0925Hbhw8f0qVLF9zc3JgwYUKmz86ePcvAgQNZsWIFDg4OuvfPnz9P//79+frrrzP1afHixWzduhWtVptpt+PU1FR69+6NqakpK1asyLIffx+ptbPTf02poij8/PPPLFy4kMePH9O/f38GDx5M0aJF9W7j35CYmMixY8c4evQoR48e5d69exgZGWFnZ4dS1JDHKCi8/mwMDaBSyX9v+rQQQgghhHg/JNgKAPo6VuHo1YSsPzQwJHxMDxr699Bt5rNr1y7WrVun2+woozxL/fr1cy1D809zcHDAzc2NqKgovLy8GDBgAIMGDSIgIIBy5crp3UalSpXw8fGhXLly2W4oNWPGDKZMmcL06dMzbRRlb2+Pp6cnN2/eZOjQoa+dZ2VllSnwnj17ljZt2tCwYcNMxy1atIhr164RExND/fr1X2snY03tlStX0Gq1eVpTe/z4cby8vDh06BBdu3Zl3rx51KhRQ+/z/0nPnz/nwIEDuh2S4+LiALC2tqZXr166zcqKFSvG9rjbeG6Ky7KddOXld1sIIYQQQnzcZPMoAUBHuwq42VcAXo5yvfqnm30FOtpVoGLFigwcOJD169frNo4KDAykYMGC+Pv707BhQ8qUKUOvXr1YsWIF165dez838/+5uroSGxvLokWL2L59O5aWlgQHB5OcnKzX+fpsKOXp6Um1atXw8vLK9LmRkRGurq56bSCVmJjI8ePHUavVmd5/9OgRX375JUOGDMkx1OZ1o6i7d+8yePBgHB0defLkCbt372br1q3vNdSmp6cTExPD3LlzUalUlCxZkjZt2rB+/Xrq1q3L2rVruX37NmfPniUsLIzPPvuMYsWKAfp9d4UQQgghxMdNRmwFAIaGBoT1rIdrnTJ8e+wGtxKfU6lkEfo6VqGjXQUMDTOPVhoYGFC3bl3q1q2Lt7c3f/31F4cPH9aNsI0cOZL09HRq1qyJWq1GrVbTqlUrSpYs+a/eV4ECBRg1ahS9e/fGz8+PKVOmsHz5ckJDQ3Fzc8u1FmtupYAKFSrE/Pnz6dSpEz/++CMdO3bUfaZSqRg9ejR//PEHJUqUyPYae/fuJT09/bX6tTNmzCAtLY3Zs2e/ds6bhNrk5GTCwsKYPXs2hQoVYunSpQwdOvSd1RrOq6tXr+q+L1FRUSQkJGBiYkKLFi10AdfGxibXv6O8fneFEEIIIcTHR4Kt0DE0NKBTvYpvtINswYIFadGiBS1atGDWrFk8fvyYPXv2oNFo0Gq1LFu2DENDQxo2bIhKpUKtVtOkSRMKFSr0D9zJ68zMzAgPD2fEiBF4e3vTuXNnVCoVYWFh2NjY5HhubuG2Y8eOqNVqfHx8+PTTT3X3pFarSUtLY+/evXTq1Cnb9jUaDbVq1aJatWq6986cOcPSpUsJDg6mbNmymY7Pa6hVFIXt27czbtw4bty4wejRo5kxY8a//iNDYmIiu3fv1n0nrly5gqGhIY6OjowaNQq1Wo2TkxMFCxbMc9tv890VQgghhBD5nwRb8Y8wNTWlS5cudOnSBYDr16/rRueWL19OQEAARYsWpXnz5rr1uba2trmOzr0ta2trfv75Z3766Se8vb2xt7fn888/x8/PDzMzs2zPyyncGhgYsGDBAuzt7YmIiGD8+PEA1KhRg+rVq6PRaHINtq+O1iqKgpeXFzVr1mTMmDGZjs1rqD1z5gxeXl5ERUXRpk0bfvzxxzxvpPWmkpOTOXTokO7vPSYmhvT0dCwtLWnTpg1qtZqWLVtiamr6r/RHCCGEEEJ8vGSNrfhXVK1alSFDhrBx40bu37/PyZMndVNtp06dir29PeXLl6d///6sWbOGW7du/WN9MTAwoEOHDpw5c4a5c+eydu1aLCwsWLx4Mampqdmel9OaWxsbGz7//HP8/f0z1XtVq9Votdps27x27RqXL1/OtL52x44dREVFMX/+/Eyjl3kJtY8ePeKLL77A3t6eGzdu8OOPP/Lf//73Hw21iqLw66+/EhoaSrt27TAzM6N169YsX76cmjVrsnz5cq5du8bFixdZvHgxnTt3llArhBBCCCHeCQm24l9naGhI/fr1mThxIrt27SIhIQGNRsOgQYM4f/48Hh4eVK5cGSsrK8aOHcvOnTtJSkp65/0oVKgQ48ePJz4+ni5dujBmzBjq1auXYxDNKdz6+flhbGzM1KlTde+p1WouXrzIzZs3s2wvo7xPq1atgJejnD4+PrRp04bPPvtMd5y+oTYlJYWIiAgsLCxYv349wcHBnDlzhs8+++wfGQ2/desWq1evpl+/fpQrVw57e3umTZtGWloaM2fO5OTJk9y/f58NGzYwZMgQqlat+s77IIQQQgghhARb8d4VKVIElUrF3LlziYmJ4cGDB2zatIlmzZqxY8cO3NzcMDMzo1mzZsycOZPo6GhSUlLe2fXLli3LypUrOXHiBCVLlkStVtO5c2cuX76c5fHZhVszMzP8/f1ZtWoVMTExALRq1QoDA4Nsw7JWq6Vhw4a69a5hYWFcv36dBQsW6IKovqFWo9FQr149PD096d69O/Hx8YwbN+6N1qxmJykpiR07djBmzBisrKyoXLkyQ4YM4eLFiwwePBitVktiYiK7du1iwoQJH0T5JyGEEEII8fGT/+IUHxxzc3N69uzJihUruHr1KvHx8SxatIiyZcsSHh5Os2bNKFWqFG5ubkRERHD+/PksS/HklYODA/v372fjxo2cPHkSGxsbJk2axJMnT147NrtwO2LECKytrfH09ERRFEqVKkWDBg2yLPuTnp5OVFSUbhry3bt3mT17Nl988YVuyrA+ofby5ct06tSJTz/9lFKlShETE8Py5cspU6bMWz+TlJQUDh48yMyZM3F2dsbMzEy3A7SLiwubN2/mwYMHnDhxgrlz5+Lq6krhwoXf+rpCCCGEEELkhWweJT5oBgYG1KpVi1q1ajFy5EjS0tKIiYnR7aw7btw4UlJSqFixom63ZZVK9dpOwnm5Xq9evejYsSPz5s0jKCiItWvXEhgYyMCBAzONPma1oVSBAgUIDw9HpVKxefNmevXqhUqlIjIykvT09EzXiouL4+HDh7qNo6ZOnUqhQoWYMWMGkHuoTUpKYs6cOSxYsIDy5cuzadMmevTo8VZTjhVF4cKFC2g0GjQaDXv37uXPP//E1NQUV1dXFi1ahFqtpkaNGv/4Rl9CCCGEEELoS4KtyFeMjIxwdHTE0dGRqVOn8vTpUw4cOKALYmvXrgXA1tZWF3KbN2+OiYlJnq5TtGhRZsyYweDBg/H19WXw4MEsXryY8PBwmjZtqjsuq3Dr6upKp06dmDBhgq4U0Ny5czl9+nSma2i1WooWLUqTJk04fvw4q1evZsmSJZQsWTLHUJuens6aNWuYMmUKSUlJTJs2jfHjx1O0aNE3eqb37t1Dq9XqXrdv38bY2BhnZ2cmT56MWq3GwcEBIyOjN2pfCCGEEEKIf5oEW5GvmZiY0LZtW9q2bQu8DGlRUVFotVo2bdqk21m4adOmuhHdBg0a6B3SqlSpwoYNGxg9ejSenp44OzvTt29fgoKCqFSpEpB1uA0JCcHGxoZ58+bh6+tLkSJF0Gg0tG7dWte2RqOhRYsWFCxYEE9PT2xtbRk2bFiOoTY6OhpPT09iYmLo27cvc+fOpXLlynl6Zk+fPmX//v26Ue+MwG1nZ0fv3r1RqVS4uLjk+ccAIYQQQggh3hcJtuKjUq5cOfr160e/fv1002oz6qgGBQUxbdo0TE1Nad26tW5Et2bNmrlOq23WrBnHjx9nzZo1TJ48mdq1a+Pr66sbKc0q3Hp7exMUFMTgwYNxcXFBq9Xqgu2LFy84cOAAAQEBbNiwgcOHDxMVFcWLFy+yDLU3btzA19eXjRs30qBBAw4ePIizs7NezyQtLY0TJ07onsOhQ4d007fVajWTJk3C1dX1jadvCyGEEEII8b5JsBUfLQMDA6ysrLCysmLMmDGkpKRw7Ngx3UjlF198QVpaGtWqVdON5rq6ulKqVKks2zM0NMTDw4Pu3bsze/ZsZs+eTWRkJPPmzaNHjx6vhdspU6awdu1afH19UavVfPnllyQnJwNw6tQpkpOTcXZ2plu3bnTt2hVHR8fXQu2zZ890a32LFy/OqlWrcHd3z3GnYUVRuHLlim569p49e3j8+DHFihWjVatWhIaGolarqV27tqyTFUIIIYQQHwUJtuJ/Rsa6UWdnZ2bOnElSUhL79u3TBcCVK1diYGBA/fr1daO5zZo1e22X3+LFixMcHMywYcMYP348vXr1YtGiRYSHh78WbgMCAvDw8ODTTz/l+fPnnDp1CoAjR45QtmxZfvzxRx4+fMjMmTMzhVonJyc2btzIxIkTuX//Pt7e3kyZMoXixYtneW8PHz7UTcHWaDRcv34dIyMjnJyc8PLyQq1W06hRI4yNjf/BJyyEEEIIIcT7IcFW/M8qXrw4HTt2pGPHjgDcunVLt4HSmjVrCAoKonDhwjRr1gy1Wo1arcbe3l43WmphYcH27dvZtWsX3t7eNGjQgCFDhjBnzhzgZbidOHEiDRo0YNGiRZibm3Ps2DEAjh07RpMmTQgJCeGLL75g1KhRulBbsGBBXFxciI6OplOnToSEhFCrVq1MfX/+/DnR0dG6UB4bGwuAlZUVnTp1QqVS0aJFi2yDsBBCCCGEEB8TqWMrxP9XqVIlBg0axNdff83du3c5deoUc+bMoUCBAvj5+eHg4EDZsmXp3bs3kZGRXL9+HYBPP/2UuLg4wsPD2bp1KxYWFqSnpxMcHExwcDBWVlacPHmSGjVqcPToUQAuXLjA7du3MTU1JTo6mlOnTrFhwwYiIyNp1KgRjx8/RqPR8MMPP1CrVi3S09M5efIkwcHBqNVqzMzMUKvVrF27Fmtra9asWcPNmzc5d+4c4eHhdOzYUUKtEEIIIYT4nyEjtkJkwcDAADs7O+zs7PDx8SE5OZnDhw/r1ucOHz6c9PR0LCwsdOtzBwwYQN++fZkxYwYTJ06kZs2aDBkyhMjISKysbbiSWpIC9l2o2KIsqY/vczbuv1QoVpwzZ87g7u5Onz59KFCgABEREYwYMYJbt26xcuVKNBoNUVFRPHr0iKJFi9KiRQsCAgJQqVTUrVtX1skKIYQQQoj/eRJshdBDoUKFaNmyJS1btmTOnDkkJiayZ88eNBoNu3btYunSpRgaGtKoUSPUajUrV65k/fr1REZGYlm7Dr/XbMcnNi1R0tMwMDTCqFgpCle1JenCAUyff8uyZcvw8PDA2dmZo0ePYmVlxeXLlzE0NKRhw4aMHDkStVqNk5MThQoVet+PQwghhBBCiA+KBFsh3kDJkiXp2rUrXbt2BeDq1au69blLly7Vja46ODhwy6gcJjYtATAwNMr0Z5E6LhgkXsHK9AKRkZGsWLGCWrVqoVarCQoKolWrVpQsWfK93KMQQgghhBD5hQRbId6B6tWrM2zYMIYNG0Z6ejpxcXG6jZ3ulGuuG6n9OyU9jdSqjbEua4inpycqlYpq1ar9+zcghBBCCCFEPibBVoh3zNDQEAcHBxwcHPD19aXJXC13/0jO8lgDQyOqWNdnk+/4f7mXQgghhBBCfDwMFEVR3ncnhPiY9Vp+mOPXEkjP4p80QwNoVM2MTcOb/PsdE0KIv5HN6IQQQnxo9I2rUu5HiH9YX8cqWYZagHTl5edCCCGEEEKINydTkYX4h3W0q0DUhQfsOHUHQ4OXYTbjTzf7CnS0q/C+uyiEEDqF641+313gRdxi4MPoC3xY/ZG+ZO1D6gt8WP2RvmTtQ+oLfFj9yejL85T3P7G3iLH+M4kk2ArxDzM0NCCsZz1c65Th22M3uJX4nEoli9DXsQod7SpgaChT/4QQQgghhHgbEmyF+BcYGhrQqV5FOtWr+L67IoQQQgghxEdH1tgKIYQQQgghhMjXJNgKIYQQQgghhMjXJNgKIYQQQgghhMjXJNgKIYQQQgghhMjXJNgKIYQQQgghhMjXJNgKIYQQQgghhMjXJNgKIYQQQgghhMjXJNgKIYQQQgghhMjXJNgKIYQQQgghhMjXJNgKIYQQQgghhMjXJNgKIYQQQgghhMjXJNgKIYQQQgghhMjXJNgKIYQQQgghhMjXJNgKIYQQQgghhMjXJNgKIYQQQgghhMjXJNgKIYQQQgghhMjXJNgKIYQQQgghhMjXJNgKIYQQQgghhMjXJNgKIYQQQgghhMjXJNgKIYQQQgghhMjXJNgKIYQQQgghhMjXJNgKIYQQQgghhMjXJNgKIYQQQgghhMjXJNgKIYQQQgghhMjXJNgKIYQQQgghhMjXJNgKIYQQQgghhMjXJNgKIYQQQgghhMjXJNgKIYQQQgghhMjXJNgKIYQQQgghhMjXJNgKIYQQQgghhMjXDBRFUd53J4QQQgjx/hkYGLzvLgghhBCZ6BtXC/zD/RBCCCFEPiG/dQshhMivZCqyEEIIIYQQQoh8TYKtEEIIIYQQQoh8TYKtEEIIIYQQQoh8TYKtEEIIIYQQQoh8TYKtEEIIIYQQQoh8TYKtEEIIIYQQQoh8TYKtEEIIIYQQQoh8TYKtEEIIIYQQQoh8TYKtEEIIIYQQQoh87f8BUVwm9NrVFfUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1200x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "visualize(G_complete, pos, '完全图')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "20f4984c-ecbb-4af6-aeba-d69daf252b14",
   "metadata": {},
   "source": [
    "## 完全二分图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "d957bbc9-bc3e-4d75-b6f5-1853ce64214d",
   "metadata": {},
   "outputs": [],
   "source": [
    "G_complete_bipartite = nx.complete_bipartite_graph(5,7)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "2ef0505d-ee32-4400-9a8c-1606a6ec997c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "left = nx.bipartite.sets(G_complete_bipartite)[0]\n",
    "pos = nx.bipartite_layout(G_complete_bipartite, left)\n",
    "visualize(G_complete_bipartite, pos, '完全二分图')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6680323e-a0d1-479e-bc04-ba688f5c8707",
   "metadata": {},
   "source": [
    "## 正四面体图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "7124e44c-9a3c-47e4-89c5-f958b14d4bd3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tetrahedral_graph = nx.tetrahedral_graph() \n",
    "pos = nx.spring_layout(tetrahedral_graph)\n",
    "visualize(tetrahedral_graph, pos, '正四面体图')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5120b6cd-d7a0-4bb7-bf69-91e4f63e9bfe",
   "metadata": {},
   "source": [
    "## 正六面体图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "a9f78aa4-2978-48f1-b8a5-a4667aae08c7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cubical_graph = nx.cubical_graph() \n",
    "pos = nx.spring_layout(cubical_graph)\n",
    "visualize(cubical_graph, pos, '正六面体图')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5e2a057e-cee8-46e6-a4c7-390bf56fd7db",
   "metadata": {},
   "source": [
    "## 正八面体图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "e0c8d41a-c0a1-4dc2-9ddf-e7222ab334ca",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "octahedral_graph = nx.octahedral_graph() \n",
    "pos = nx.spring_layout(octahedral_graph)\n",
    "visualize(octahedral_graph, pos, '正八面体图')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "18f3ce5c-f73a-46f1-932c-4edd46ed939d",
   "metadata": {},
   "source": [
    "## 正十二面体图 "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "b85e134b-257c-4517-a4bd-139fddb14973",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dodecahedral_graph = nx.dodecahedral_graph() \n",
    "pos = nx.spring_layout(dodecahedral_graph)\n",
    "visualize(dodecahedral_graph, pos, '正十二面体图')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f7a74a94-3b49-47e4-b385-9adc09c36bc4",
   "metadata": {},
   "source": [
    "## 正二十面体图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "3d8f05ec-fbf5-451d-9a59-4c64b66b149d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "icosahedral_graph = nx.icosahedral_graph() \n",
    "pos = nx.spring_layout(icosahedral_graph)\n",
    "visualize(icosahedral_graph, pos, '正二十面体图')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3084c02c-5087-40af-95ff-3c3cd4cd0969",
   "metadata": {},
   "source": [
    "## 平衡树"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "0c6f535a-b219-4b78-84f9-b7bdb8ac6fde",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "balanced_tree = nx.balanced_tree(3,3) \n",
    "pos = nx.spring_layout(balanced_tree)\n",
    "visualize(balanced_tree, pos, '平衡树')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "d073aa39-5d6f-4fe0-ba88-e704a70eafce",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "f5b71365-c5a7-43bb-a26e-126c26b2c431",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
